Solving for Angle Measures of Right Triangles — Quiz

Question 5 • Integrated Math II CR SUSD (EX)

A right triangle has side lengths AC is equal to 7 inches, BC is equal to 24 inches, and AB is equal to 25 inches. What are the measures of the angles in triangle ABC ?

Answer

m angle cap A almost equal to 74.4 degrees , m angle cap b almost equal to 15.6 degrees , m angle cap c almost equal to 90 degrees

m angle cap A almost equal to 73.7 degrees , m angle cap b almost equal to 16.3 degrees , m angle cap c almost equal to 90 degrees

m angle cap A almost equal to 46.2 degrees , m angle cap b almost equal to 43.8 degrees , m angle cap c almost equal to 90 degrees

m angle cap A almost equal to 73.0 degrees , m angle cap b almost equal to 17.0 degrees , m angle cap c almost equal to 90 degrees

Explanation

Since 7² + 24² = 25², AB is the hypotenuse, so angle C is 90°. For angle A, sin A = opposite/hypotenuse = 24/25, giving A ≈ 73.7°. The remaining angle is B = 90° − 73.7° ≈ 16.3°, matching choice A.

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