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

Question

m<1 = ___degree, m<2 = ____degree

Answer 1

From the given information, we can set up the equation:

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

Simplifying the equation:

4x + 7 = 135

Subtracting 7 from both sides:

4x = 128

Dividing both sides by 4:

x = 32

Now we can substitute the value of x back into the expressions for m<1 and m<2 to find their values:

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

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

So, the two unknown angle measures are:

m<1 = 64 degrees
m<2 = 71 degrees