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?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's assume that <1 and <2 are adjacent angles. The sum of adjacent angles is equal to the resulting angle.

So, <1 + <2 = 135 degrees.
Given that m<1 = 2x and m<2 = 2x + 7, we can substitute these values in the equation above:
2x + 2x + 7 = 135
4x + 7 = 135
Subtracting 7 from both sides:
4x = 128
Dividing both sides by 4:
x = 32
Now, substituting the value of x back into the equations for m<1 and m<2:
m<1 = 2(32) = 64 degrees
m<2 = 2(32) + 7 = 64 + 7 = 71 degrees
Therefore, the two unknown angle measures are 64 degrees and 71 degrees.