Two adjacent angles, <1 and 2, form a resulting angle that measures 135°. If m1 = (2x) and m2 = (2x+7) what are the two unknown angles measures?

Answer 1

Since angles 1 and 2 are adjacent, their measures add up to the resulting angle of 135°.

So, we have:

m1 + m2 = 135

Substituting m1 = 2x and m2 = 2x + 7, we get:

2x + 2x + 7 = 135

4x + 7 = 135

Subtracting 7 from both sides:

4x = 128

Dividing both sides by 4:

x = 32

Now that we know x = 32, we can substitute it back into the expressions for m1 and m2 to find their values:

m1 = 2(32) = 64 degrees

m2 = 2(32) + 7 = 71 degrees

So the measures of angle 1 and angle 2 are 64 degrees and 71 degrees, respectively.