Two angles are complementary angles. One angle is twice as large as the other angle. Find the number of degrees in each angle

Question

Please help me!!!!!!!! I need help sooooo badly!!!

Answer 1

Hi Alexa;

SMALL ANGLE...x

LARGE ANGLE...2x

Complementary angles total 90-degrees.

x+2x=90

3x=90

Let's divide both sides by 3...

(3x)/3=90/3

x=30

2x=60

SMALL ANGLE...30-degrees

LARGE ANGLE...60-degrees

Answer 2

Complementary angles mean that the two angles, when added together, equal 90°.

 

Let's call the first angle x, and its second, complementary angle 2x.  So, we have x + 2x = 90.

 

Solving for x, we get x = 30.

 

Since the first angle was called x, that means it's measurement is 30°.  The second angle, 2x, is just twice the first angle, so its measurement is 60°.