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

Answer 1

Let's call the measure of angle 1 (2x) degrees and the measure of angle 2 (2x + 7) degrees.

We know that the sum of angle 1 and angle 2 is 135 degrees, so we can write an equation:

(2x) + (2x + 7) = 135

Combining like terms, we get:

4x + 7 = 135

Subtracting 7 from both sides, we get:

4x = 128

Dividing both sides by 4, we get:

x = 32

Now we can substitute this value back into our expressions for angle 1 and angle 2:

Angle 1 = (2x) = (2 * 32) = 64 degrees
Angle 2 = (2x + 7) = (2 * 32 + 7) = 71 degrees

So the measures of the two unknown angles are 64 degrees and 71 degrees.