Two angles are complementary. If one angle measures x degrees, and the other angle measures 4x - 10 degrees, find the value of x and the measures of both angles.

The one angle is

x°

The other angle is

(4x -10)°

Complementary angles are two angles that add up to 90 degrees

A + B = 90°

Now plug the values

x + (4x - 10) = 90

After simplification

5x - 10 = 90

Add 10 on both sides

⇒ 5x + 10 - 10 = 90 + 10

⇒ 5x = 100

Divide 5 on both sides

\$(5x)/5 = 100/5\$

After simplification

x = 20

So, the value of x is 20°.

The first angle measures x degrees, which is

20°

The second angle measures 4x - 10 degrees, which is

4(20°) - 10° = 80° - 10° = 70°

So, the first angle measures 20°, and the second angle measures 70°.

Can you summarize what you’ve understood in the above steps?

This is not correct because it doesn’t satisfy the condition that the two angles are complementary, and their sum should be equal to 90°

73°

This is not correct because it doesn’t satisfy the condition that the two angles are complementary, and their sum should be equal to 90°

72°

This is not correct because it doesn’t satisfy the condition that the two angles are complementary, and their sum should be equal to 90°

68°

This is correct because it satisfy the condition that the two angles are complementary, and their sum should be equal to 90°

70°

Option

D

Can you summarize what you’ve understood in the above steps?