Question

the sum of two angles is 62 degrees. angle b is 108 degrees smaller than 4 times angle a. find the measures of the two angles in degrees.

Answer 1

Answer:

The measurement of angle a is 42.5°

The measurement of angle b is 19.5°

Step-by-step explanation:

Angle a = a

Angle b = b

m < a + m < b = 62°

"m <" means "measurement of angle..."

m < a + m < b = 4m < a - 108°

Subtract m < a from both sides of the equation

m < b = 4m < a - 108° - m < a

Simplify

m < b = 3m < a - 108°

Substitute into original equation

3m < a - 108° + m < a = 62°

Add m < a + 3m < a

4m < a - 108° = 62°

Add 108° to both sides of the equation

4m < a = 170°

Divide both sides of the equation by 4

m < a = 42.5°

m < b = 62° - 42.5° = 19.5°

Hope this helps :)