Given that the sum of the measures of the two adjacent angles is 135 degrees, and the measure of < 1 is 2x degrees while the measure of < 2 is (2x + 7) degrees, we can set up an equation to find the value of x.
According to the problem:
m < 1 + m < 2 = 135
So,
2x + (2x + 7) = 135
4x + 7 = 135
4x = 128
x = 32
Now that we have found the value of x, we can substitute it back into the expressions for the measures of < 1 and < 2 to find their values.
m < 1 = 2x
m < 1 = 2(32)
m < 1 = 64 degrees
m < 2 = 2x + 7
m < 2 = 2(32) + 7
m < 2 = 64 + 7
m < 2 = 71 degrees
Therefore, the measure of < 1 is 64 degrees and the measure of < 2 is 71 degrees.
Two adjacent angles < 1 and < 2 form a resulting angle with measures 135 degrees if m < 1= (2x) degrees and m< 2= (2x+7) degrees what are the two unknown angle measures?
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