Question

In an A-frame house, the two congruent sides extend from the ground to form a 34° angle at the peak. What angle does each side form with the ground?

a. 156°

b. 146°

c. 73°

d. 78°

Answer 1

c. 73°. Each side of the A-frame house forms a 73° angle with the ground, by dividing the sum of the remaining angles (146°) of the isosceles triangle by two.

Step-by-step explanation:

The question is about finding the angle each side of an A-frame house makes with the ground. Since the peak forms a 34° angle and the sides are congruent, this means we are dealing with an isosceles triangle. A triangle has a total of 180°, and if we subtract the vertex angle at the peak (34°), we are left with 180° - 34° = 146°. This is the sum of the two base angles, which are equal as it is an isosceles triangle. Therefore, each angle equals 146° / 2, which is 73°. Each side of the A-frame house forms a 73° angle with the ground. The correct answer is c. 73°.