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?

Question

m<1 = ___ , m<2 = ___

Answer 1

m<1 = 2x , m<2 = 2x + 7

Answer 2

solve them

Answer 3

Since the resulting angle formed by angles 1 and 2 is 135, we can set up the equation:

m<1 + m<2 = 135

Plugging in the given expressions for m<1 and m<2, we have:

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 plug x back into the expressions for m<1 and m<2:

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

Therefore, m<1 = 64 and m<2 = 71.