Question

review (10 pts)
0 / 6 pts

Explanation:

Step1: Find the value of x

Use the exterior - angle property of a triangle. An exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. For the triangle with exterior angle 130° and non - adjacent interior angles x° and 63°, we have 130=x + 63. Solving for x:
x=130 - 63
x = 67

Step2: Find the value of y

Since the sum of angles on a straight line is 180°, and one angle on the straight line with y is 130°, then y=180 - 130
y = 50

Step3: Find the value of z

Use the angle - sum property of a triangle. The sum of the interior angles of a triangle is 180°. In the triangle with angles z, 85°, and y = 50°, we have z+85 + 50=180. Solving for z:
z=180-(85 + 50)
z=180 - 135
z = 45

Answer:

x = 67, y = 50, z = 45