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Find the measure of angle 6

PLEASE HELP Find The Measure Of Angle 6 class=

Sagot :

Answer:

The measure of Angle 6 is 57 degrees.

Step-by-step explanation:

Angle 1 is congruent to Angle 5 (6x + 159) via the Corresponding Angles Theorem.

Angle 1 is supplementary to Angle 2 (-7x + 15).

Due to the transitive property, Angle 5 (6x + 159) and Angle 2 (-7x + 15) are supplementary.

Set them to 180.

-x + 174 = 180

Subtract 174 from both sides.

-x = 6

Divide -1 on both sides.

x = -6

Substitute -6 for Angle 5's value.

6(-6) + 159

-36 + 159

Angle 5 is 123 degrees.

Since Angle 6 is next to Angle 5, they are supplementary.

180 - 123 = 57

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