2 adjacent angles <1 and <2 form a resulting angles with measures 135. If m<1=(2x) and m<2=(2x+7). What ware the 2 unknown angle measures?

Answer 1

Let's set up an equation to solve for the value of x. Since we know that the resulting angle measures 135 degrees, we have:

m<1 + m<2 = 135
(2x) + (2x + 7) = 135
4x + 7 = 135

To isolate x, we subtract 7 from both sides:

4x = 128

Finally, we solve for x by dividing both sides by 4:

x = 32

Now we can substitute x = 32 into the expressions for the unknown angle measures:

m<1 = 2x = 2(32) = 64 degrees
m<2 = 2x + 7 = 2(32) + 7 = 64 + 7 = 71 degrees

Therefore, the two unknown angle measures are m<1 = 64 degrees and m<2 = 71 degrees.