The measure of angle a is 30° more than four times the measure of angle b and the sum of the measures of the two angles is 170 degrees what is the measure of each angle

Answer 1

Hey!

We're going to start by writing out the corresponding equations.

a = 30 + 4b (the measure of angle a is 30 more than four times b)

a + b = 170

Subtracting the first equation from the second equation yields b = 140-4b. Therefore, b = 28.

Plugging b back into the second equation gives a = 142

I hope this helps! Please feel free to reach out with any questions