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Answer :
The correct answer is 56°. Hence the correct option is e.
To find the measure of angle E, we will use the fact that the two triangles formed are similar.
In triangle ABC and triangle DCE, angle A is congruent to angle B, so we can conclude that angle C is congruent to angle D.
We are given that angle A is 62°, so angle C will also be 62°.
Now, we can use the properties of similar triangles to find the measure of angle E.
In triangle ABC, we have angle A + angle B + angle C = 180°.
Substituting the given values, we have 62° + angle B + 62° = 180°.
Simplifying this equation, we get angle B = 180° - 62° - 62° = 56°.
Since angle E is congruent to angle B, the measure of angle E is also 56°.
Therefore, the correct answer is 56°. Hence the correct option is e.
Complete question:
1.Two trapeze artists are standing on top of their platforms holding their trapezes, as shown below. The two triangles formed are similar and angle A is congruent to angle B.
In the diagram, the measure of angle A = 68°, c = 35 feet, and d = 52.5 feet.
What is the measure of angle E?
A.68°
B.22°
C.85.5°
D.32°
E. 56
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