Find the measure of each angel1. the measure of an angel is 1/4 the measure of its complement. a. thought provoking sketch an intersection of road. identify any supplementary, complementary of vertical angles.

We will write and solve an equation that expresses the given relation. Let x represent the angle measure. Its complement is (90-x).

... x =(1/4)(90 -x)

Subtract x and simplify

... 0 = (90/4) - (5/4)x

Divide by the coefficient of x, which is -5/4.

... 0 = -18 +x

Add the opposite of the constant.

... 18 = x

The angle is 18°.

The attachment shows the intersction of road AB with road CD.

Supplementary angles: ∠CXA and ∠CXB; ∠BXC and ∠BXD; ∠DXA and ∠DXB; ∠AXC and ∠AXD.

Complementary angles: none

Vertical angles: ∠AXC and ∠BXD; ∠BXC and ∠AXD.

ab: 2 n83b8eb7ebi. 8e yen in

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .