Question

ABCD is a rectangle. Find the measure of the angle CWD

Answer 1

CWD = 120 degree

Explanation:

CWD : BWA They are congruent and vertical opposite angles.

A:B = 30:30 = 60 They are congruent and isosceles.

B:W:A = 30:120:30 = 180 as all sides on a triangle equal 180

BWA = 180-60 = 120 degree

CWD = 180-60 = 120 degree

Answer 2

120 degrees.

Explanation:

Angles in a triangle add up to 180 degrees and triangle BWA is an isosceles triangle, meaning that AW and BW are congruent, or equal in length to each other.

This also means that angle WBA and WAB are congruent to each other. Angle WAB is 30 degrees, so angle WBA is also 30 degrees.

Knowing that angles in a triangle add up to 180 degrees we have 30+30+BWA=180.

60+BWA=180.

BWA=120 degrees.

Hope this helps!