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

We are given that <1 and <2 are adjacent angles and form a resulting angle with measure 135 degrees. So, we have the equation:

<1 + <2 = 135

Since we are also given that m<1 = 2x and m<2 = 2x+7, we can substitute these values into the equation:

2x + 2x + 7 = 135

Combining like terms, we get:

4x + 7 = 135

Subtracting 7 from both sides, we have:

4x = 128

Dividing both sides by 4, we get:

x = 32

Now we can substitute the value of x back into the equation to find the angle measures:

m<1 = 2x = 2(32) = 64

m<2 = 2x + 7 = 2(32) + 7 = 64 + 7 = 71

Therefore, the two unknown angle measures are 64 degrees and 71 degrees.