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Name the relationship between the pair of angles and find the value of x.

Name the relationship between the pair of angles and find the value of x.-example-1
User Artin
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4 votes
Answer:

Consecutive interior angles (Same side)

x = -8

Explanations:

The two angles are 136 + x and x + 56

The two angles are consecutive-interior angles because they are on the same side of the transversal.

Note that consecutive -interior angles are supplementary and they add up to 180 degrees.

Applying this rule to the diagram shown:

(136 + x) + (x + 56) = 180

136 + 56 + x + x = 180

192 + 2x = 180

2x = 180 - 196

2x = -16

x = -16 / 2

x = -8

User LearnToday
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