Angle Pairs Unit Test
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Question
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=
°
Since the two adjacent angles form a resulting angle, we can set up an equation to find the unknown angle measures.
m∠1 + m∠2 = resulting angle measure
2x + (2x+7) = 135
Combining like terms:
4x + 7 = 135
Subtracting 7 from both sides:
4x = 128
Dividing by 4:
x = 32
Now we can substitute this value back into the equations for m∠1 and m∠2:
m∠1 = 2x = 2(32) = 64°
m∠2 = 2x+7 = 2(32)+7 = 71°
Therefore, the two unknown angle measures are:
m∠1 = 64°
m∠2 = 71°