Question

In triangle XYZ, m∠Y = 62.45° and m∠Z = 41.8°. Determine the measure of the exterior angle to ∠X.

104.25°
75.75°
37.85°
18.94°

Answer 1

A) 104.25°

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We know that in a triangle, the exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles.

In this case, the measure of the exterior angle to ∠X is equal to the sum of m∠Y and m∠Z.

Therefore, performing the calculation, we have

• Exterior ∠X = 62.45° + 41.80° = 104.25°

So, the correct answer is A) 104.25°.