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)
m∠1=
°, m∠2=
m∠1= (2x)° and m∠2= (2x+7)°
Since the resulting angle with measure 135° is formed by ∠1 and ∠2, the sum of their measures must equal 135°.
So, (2x)° + (2x+7)° = 135°
Combining like terms, we have:
4x + 7 = 135
Subtracting 7 from both sides, we get:
4x = 128
Dividing both sides by 4, we find:
x = 32
So, m∠1 = (2x)° = 2(32)° = 64°
And m∠2 = (2x+7)° = 2(32)+7° = 71°
Therefore, m∠1 = 64° and m∠2 = 71°.