Question

the diagram below is being used to build a ramp at a skatepark. what is the value of x? 30° 40° 50° 60°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In a right - triangle, one angle is 90°. Let the three angles of the triangle be 90°, 50°, and x. So, 90°+50° + x=180°.

Step2: Solve for x

x = 180°-(90° + 50°). First, calculate 90°+50° = 140°. Then, x=180° - 140° = 40°.

Answer:

40°