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Helga [31]
3 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]3 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]3 years ago
3 0

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!!!

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laila [671]

Answer: ∠DOB: 48°

Step-by-step explanation:

1. we need an equation first. the sum of all angles (108°, n°, 2n°) is equal to 180°. we can depict this with the equation: 108°+2n°+n°=180°

2. now we can solve for the missing variable, n.

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3. now that we know that n=24°, we can solve the value of ∠DOB. we can see that ∠DOB is 2n° which we just plug the number we got for n into the equation. 2*24=48° meaning ∠DOB is 48°

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