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Complete the diagram below by filling in the measures of each angle

Complete the diagram below by filling in the measures of each angle-example-1
User Bindrid
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1 Answer

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Answer:

Explanation:

Since the 2 lines running the same direction are parallel to each other, as marked, then x + 32 and 2x + 1 are corresponding and they are also congruent. That means that they are equal in measure:

x + 32 = 2x + 1 and

x = 30. So the angles measure 62 degrees each. That means that each angle that is diagonal to these 2 angles also measure 62 degrees. The angles above and next to each of these 62 degree angles are supplementary, meaning they measure 180 - 62 which is 118 degrees.

User Fytch
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