Calculate the Fourth Angle in a Trapezoid: Given Angles 110°, 130°, and 70°

Question

ABCD is a trapezoid.

A=110 ∢A=110

B=130 ∢B=130

C=70 ∢C=70

Calculate the size of angle D ∢D .

AAABBBDDDCCC13011070

Video Solution

Step-by-Step Solution

The sum of angles in a trapezoid is 360 degrees.

Therefore:

360=A+B+C+D 360=A+B+C+D

Let's substitute the known data into the above formula:

360=110+130+70+D 360=110+130+70+D

360=310+D 360=310+D

We'll move terms and maintain the appropriate sign:

360310=D 360-310=D

50=D 50=D

Answer

50