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Georgia [21]
2 years ago
15

ANSWER FAST PLEASE HELP

Mathematics
2 answers:
tigry1 [53]2 years ago
8 0

See in the attachment.

Romashka-Z-Leto [24]2 years ago
5 0

Answer:

see below

Step-by-step explanation:

Because two sides are congruent, the triangle in the diagram is isosceles which means that angle c = angle e because of the Base Angles Theorem. We know that angle c = 63 degrees because we see that it's vertical to a 63 degree angle, and vertical angles. Since angle c = angle e, angle e = 63 degrees. Since angles e and b form a linear pair, they are supplementary, meaning that they add up to 180 degrees which means that angle b = 180 - 63 = 117 degrees. To find angle d, we notice that d and c are alternate interior angles, and since these angles are congruent in parallel lines, angle d = 63 degrees as well. To find angle a, we know that the sum of angles in a triangle is 180 degrees so angle a = 180 - 63 - 63 = 54 degrees.

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