Find Angle B in an Isosceles Trapezoid with 50° Angle

Question

D=50° ∢D=50°

The isosceles trapezoid

What is B ∢B ?

AAABBBDDDCCC50°

Video Solution

Solution Steps

00:00 Find angle B
00:03 According to the given, it's an isosceles trapezoid
00:09 In a trapezoid, angles on the same leg sum to 180
00:23 Let's substitute the value of D to find B
00:34 Let's isolate angle B
00:46 And this is the solution to the question

Step-by-Step Solution

Let's recall that in an isosceles trapezoid, the sum of the two angles on each of the trapezoid's legs equals 180 degrees.

In other words:

A+C=180 A+C=180

B+D=180 B+D=180

Since angle D is known to us, we can calculate:

18050=B 180-50=B

130=B 130=B

Answer

130°