Two adjacent angles 1 and 2 form a resulting angle with measure 135 degree if m 1=(2x) degree and m 2=(2x+7) degree what are the two unknown angle measures?

Answer 1

We are given that the measure of angle 1 is 2x degrees and the measure of angle 2 is (2x+7) degrees. The resulting angle formed by these two angles has a measure of 135 degrees.

Since the resulting angle is formed by the sum of angles 1 and 2, we can set up an equation:

2x + (2x+7) = 135

Simplifying this equation, we have:

4x + 7 = 135

Subtracting 7 from both sides:

4x = 128

Dividing both sides by 4:

x = 32

So, the measure of angle 1 is 2x = 2(32) = 64 degrees, and the measure of angle 2 is (2x+7) = 2(32) + 7 = 71 degrees.