IDNLearn.com is designed to help you find reliable answers quickly and easily. Whether it's a simple query or a complex problem, our experts have the answers you need.

Two angles are supplementary. The larger angle is
150

larger than the smaller angle. Find the measure of both angles, and separate your answers with a comma.


Sagot :

Answer:

x = 165, y = 15

Step-by-step explanation:

1. Well, what does supplementary mean? - The angles add up to 180°.

2. Let's form an equation: x + y = 180°

3. Let's say x is the larger angle and y is the smaller angle.

4. Let's form another equation: x = 150 + y

5. Put the two equations next to each other:

x + y = 180

x = 150 + y

6. We know what x is equaled to, so let's plug it into the first equation!

150 + y + y = 180

150 + 2y = 180

-150           -150

2y = 30

y = 15

7. Now, we know what y is, let's find x!

x + 15 = 180

   -15     -15

x = 165