Two adjacent angles, ∠1 and ∠2, form a resulting angle with measure 135° . If m∠1=(2x)° and m∠2=(2x+7)° , what are the two unknown angle measures?(1 point)

Answer 1

First, we know that the sum of ∠1 and ∠2 is equal to 135°.

Therefore, (2x) + (2x + 7) = 135
Simplify the equation:
4x + 7 = 135
Subtract 7 from both sides:
4x = 128
Divide by 4:
x = 32

Now we can find the measures of ∠1 and ∠2:
m∠1 = 2x = 2(32) = 64°
m∠2 = 2x + 7 = 2(32) + 7 = 64 + 7 = 71°

Therefore, the two unknown angle measures are 64° and 71°.