Question

Can someone show me step by step on how to solve this, I'd very much appreciate the help. In the figure below, what is the value of x degrees?

A.180 degrees
B.80 degrees
C.68 degrees
D.32 degrees

Answer 1

we now that all the angles of a triangle equal 180 so we just have to add up angle a and b to get x or angle c

but angle b is the outside angle and we can find this angle by subtracting 100 by 180 to get 80 so

80+68= 148 so

180-148=32

so the answer is

D: 32 degrees

Hope This Helps!!!

Answer 2

D.

Explanation:

According to the Exterior Angle Theorem, the exterior angle is equal to the sum of the interior angles opposite from the exterior angle. In other words:

`68+x=100`

Solve for x. Therefore:

`m\angle x=32^\circ`

Our answer is D.