What is the value of x A) 56^\circ B) 132^\circ C) 72^\circ D) 124^\circ

Question

What is the value of x

A)
`56^\circ`
B)
`132^\circ`
C)
`72^\circ`
D)
`124^\circ`

Answer 1

D) 124°

Explanation:

Use the "Exterior Angle Theorem". The Exterior Angle Theorem states that the exterior angle's measurement is the sum of the two opposite interior angle's measurements.

In this case, it is given to you that the opposite angle's measurements are 72 and 52 degrees respectively. To solve, combine the two angles:

m∠x = 72 + 52

m∠x = 124°

m∠x = 124°, or D) 124° is your answer.

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Answer 2

124°

Explanation:

Step 1:

72° + 52° = x Remote Interior ∠'s

Step 2:

124° = x Add

Answer:

x = 124°

Hope This Helps :)