Multiple choice

Two right triangles, ABC and DEF are similar, where angles A and B correspond to D and E, respectively. If angle B = 62° and angle C = 78°, What is the measure of angle D?

  1. 34°

  2. 40°

  3. 62°

  4. 78°
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B Correct answer
AI explanation

The sum of angles in a triangle is 180 degrees, so angle A equals 180 degrees minus angle B minus angle C, yielding 180 minus 62 minus 78, which equals 40 degrees. Because the triangles are similar, angle D corresponds to angle A. Therefore, the measure of angle D is 40 degrees.

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