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

Question

Helga [31]

2 years ago

6

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

Mathematics

2 answers:

klemol [59] · Answer 1 · 2022-07-18T00:46:44+03:00

klemol [59]2 years ago

5 0

Answer:

D.

Step-by-step 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 <em>x</em>. Therefore:

$m\angle x=32^\circ$

Our answer is D.

lesantik [10] · Answer 2 · 2022-07-18T03:14:59+03:00

Answer:

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!!!