Question

Answer the following. WXYZ is a rhombus, and angle WXY is 35º. Calculate the three unknown ZXYZ = 35 ZYZW = 145 ZZWX = 145

Answer 1

Given data:

WXYZ is a rhombus.

angle WXY is 35º.

to find:

The other angles.

use the property,

Opposite angles of a rhombus are equal.

Thus, angle WZY is 35º.

alos,

The sum of two adjacent angles is equal to 180 degrees.

Thus, angles,

WXY+XYZ = 180

350+XYZ=180

XYZ=180-35

XYZ= 145º.

then, XWZ = 145º

Hence,

WXY is 35º.

WZY is 35º

XYZ= 145º.

XWZ = 145º