Supplementary and Complementary Angles
Such relationships generally form because it is perceived that the opposing characteristics or experiences of the two individuals complement, supplement. Time-saving video on the difference between supplementary and complementary angles. Problems with identifying angles as complementary or supplementary. Supplementary Angles. Two Angles are Supplementary when they add up to degrees. A related idea is Complementary Angles, they add up to 90°.
The first interesting thing that you might realize is that both of these angles share a side. If you view these as rays-- they could be lines, line segments, or rays-- but if you view them as rays, they both share this ray BA.
And when you have two angles like this that share the same side, these are called adjacent angles. Because the word "adjacent" literally means next to.
Complementary & supplementary angles
They are adjacent angles. Now there's something else that you might notice that's interesting here. And you might be able to guess what the measure of angle DBC is. If we drew a protractor over here-- I'm not going to draw it. It will make my drawing all messy. Well, maybe I'll draw it really fast. So if you had a protractor right over here, clearly this is opening up to 50 degrees.
And this is going another 40 degrees. So if you wanted to say what the measure of angle DBC is, it would essentially be the sum of 40 degrees and 50 degrees.
And let me delete all of this stuff right here to keep things clean. So the measure of angle DBC would be equal to 90 degrees.
Complementary and supplementary angles review
And we already know that 90 degrees is a special angle. This is a right angle. There's also a word for two angles whose sum add up to 90 degrees, and that is complementary.
- Supplementary and Complementary Angles
- 2.2 What’s the Relationship? Pg. 8 Complementary, Supplementary, and Vertical Angles.
- complementary relationships
And that is because their measures add up to 90 degrees. They form a right angle when you add them up. And just as another point of terminology that's kind of related to right angles, when a right angle is formed, the two rays that form the right angle or the two lines that form that right angle or the two line segments that form that right angle are called perpendicular.
Or we could even say ray BD is-- instead of using the word perpendicular, there's sometimes this symbol right here, which really just shows two perpendicular lines-- perpendicular to BC. So all of these are true statements here.
And these come out of the fact that the angle formed between DB and BC, that is a degree angle. Now, we have other words when our two angles add up to other things. So let's say, for example, I have one angle over here. Let me put some letters here so we can specify it. So let's say this is X, Y, and Z.
And let's say that the measure of angle XYZ is equal to 60 degrees. And let's say that you have another angle that looks like this. And I'll call this, let's say, maybe MNO. And let's say that the measure of angle MNO is degrees. So if you were to add the two measures of these-- so let me write this down. The measure of angle MNO plus the measure of angle XYZ, this is going to be equal to degrees plus 60 degrees, which is equal to degrees.
So if you add these two things up, you essentially are able to go all halfway around the circle.
Or you could go throughout the entire half circle or semicircle for a protractor. And when you have two angles that add up to degrees, we call them supplementary.
I know it's a little hard to remember sometimes. They're just complementing each other. And then if you add up to degrees, you have supplementary. However, awareness of the various styles will help you to understand some of the dynamics in your relationship and focus on the positives to strengthen your marriage.
The first of the three relationship types is a complementary relationship. This style is based on the maximization of differences between spouses. If you and your partner have personality traits, backgrounds, life experiences, or other qualities that are mostly opposite from each other this is your relationship type.
Such relationships generally form because it is perceived that the opposing characteristics or experiences of the two individuals complement, supplement, or provide balance to one another. One positive aspect of a complementary style of relationship is that it provides the opportunity for some of the needs of each person being met.
meer-bezoekers.info: Complementary Relationships
To give one quick example, if you are somewhat spontaneous and your spouse is somewhat of a planner these characteristics can enhance the experience of both partners.
You may feel that you benefit by having some of the stress and complications that come from a lack of organization and planning in certain areas reduced. However, the same opposing qualities that initially attract two people to one another have potential later in the relationship to be the source of contention or discord. To use the same example, the planning and organizational abilities of a spouse that were once admired can come to be seen as rigid, controlling, or domineering.