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 :)
