Question

The support legs on a bench are attached in such a way that the angle made by one leg with the ground is 130°. What must the measure of the angle marked z be in order for the seat of the bench to be parallel to the ground?

A. 130°
B. 90°
C. 65°
D. 50°

Answer 1

The angle marked z must measure 50° for the bench seat to be parallel to the ground because supplementary angles sum up to 180° and the leg makes a 130° angle with the ground.

Step-by-step explanation:

The student is asking about the measure of an angle for a bench support leg to ensure that the seat is parallel to the ground. To solve this, we must understand that for the bench to be level, the angle made by the leg with the bench must be supplementary to the angle made with the ground. Since the leg makes a 130° angle with the ground and the sum of supplementary angles is 180°, we can subtract the given angle from 180° to find angle z.

180° - 130° = 50°

Thus, angle z must measure 50° for the seat of the bench to be parallel to the ground.