Question

The measure of W is 134°, the measure of Y is 46°, and the measure of Z is 134°.

What is the measure of X?
a 40°
b 46°
c 134°
d 90°

Answer 1

B. 46 because the measure of all of the angles in a quadrilateral is 360. If you add 134+46+134 it equals 314, and 360-314 is 46.

Answer 2

The angles in any quadrilateral must add up to 360 degrees.
A trapezoid is a quadrilateral, because it has four sides.


`W+X+Y+Z=360 \\ \\ (134)+X+(46)+(134)=360 \\ \\ 314+X=360 \\ \\ X=46`

Angle X is (b) 46 degrees.