![]() The key thing here was remembering that same side interior angles are supplementary and that base angles in an isosceles trapezoid are always congruent. 00:05:28 Use the properties of a trapezoid to find sides, angles, midsegments, or determine if the trapezoid is isosceles (Examples. Since the trapezoid is isosceles, its other base angle has the. In other words, the lower base angles are congruent, and the upper base angles are also congruent. In the isosceles trapezoid the base angle is 73. So A we said was 110 and D we said was 70 degrees. Now, if a trapezoid is isosceles, then the legs are congruent, and each pair of base angles are congruent. So I’m going to write that D must be 70 degrees and on that A must be 110 degrees. Now you just have to remember that your base angles are congruent to each other. So I’m going to write in here that C must be 70 degrees. So if B is 110 C must be what? 180 minus 110 which 70 degrees. Well I know that these two must be supplementary because they are on the same side of this transversal BC. An additional property of isosceles trapezoids is base angles are congruent. ![]() If I look at the only thing that we know about this trapezoid that’s angle B which is 110 degrees, I could start of by finding angle C. An isosceles trapezoid is a trapezoid with the non-parallel sides congruent. We also know that the same side interior angles here, so I’m looking at these triangles right here, are going to be supplementary that’s the definition of same side interior. Well we see that the base angles, so if I’m looking at two base angles, they are going to be congruent to each other. To calculate the leg length, you need to know the length of the long base, the short base and one other value. They also form two equal angles at the end of each parallel side. So let’s go over and take a look at what we know about isosceles trapezoids. An isosceles trapezoid (or trapez) is a trapezoid with legs that have equal length. In this problem we have an isosceles trapezoid which means we have two legs that are congruent when we have a pair of parallel sides.
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