Question

In the figure below, m Z1=(x+88)° and m2=3x°.

Find the angle measures.
J
1
2
m21=
m42=

Answer 1

m<1 = 111 degrees, m<2 = 69 degrees

Explanation:

The measure of angles 1 and 2 are supplementary, (two angles adding up to 180 degrees). Using this, set up the equation:

x + 88 + 3x = 180

4x = 108

x=23 degrees

Next, substitute 23 into the given angles:

m<1 = (23 + 88) = 111 degrees

m<2 = 23 * 3 = 69 degrees

Thus, m<1 = 111 degrees, m<2 = 69 degrees. Hope this helps