![]() ![]() ![]() The key thing here was remembering that same side interior angles are supplementary and that base angles in an isosceles trapezoid are always congruent. So A we said was 110 and D we said was 70 degrees. So I’m going to write that D must be 70 degrees and on that A must be 110 degrees. 174) is trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. (5) An isosceles trapezoid (called an isosceles trapezium by the British Bronshtein and Semendyayev 1997, p. Now you just have to remember that your base angles are congruent to each other. The properties of the isosceles trapezoid are as follows: The properties of a trapezoid apply by definition (parallel bases). (3) An isosceles trapezoid has perimeter pa+b+2c (4) and diagonal lengths pqsqrt(ab+c2). 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. 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. 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. So let’s go over and take a look at what we know about isosceles trapezoids. 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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