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

Answer 1

Given that m∠1 = (2x)° and m∠2 = (2x + 7)°, we can set up the equation:

2x + 2x + 7 = 135

Combining like terms:

4x + 7 = 135

Subtracting 7 from both sides:

4x = 128

Dividing both sides by 4:

x = 32

Now we can substitute this value back into the expressions for m∠1 and m∠2:

m∠1 = 2(32)° = 64°
m∠2 = 2(32) + 7° = 71°

Therefore, the two unknown angle measures are:
m∠1 = 64°
m∠2 = 71°