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Line x is parallel to line y as shown in the diagram below. The measure of angle 1 = x+10 and the measure of angle 2 = 5x+50. What
is the actual measure of angle 1?

Line x is parallel to line y as shown in the diagram below The measure of angle 1 x10 and the measure of angle 2 5x50 What is the actual measure of angle 1 class=

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sqdancefan

Answer:

  angle 1 = 30°

Step-by-step explanation:

Where a transversal crosses parallel lines, consecutive interior angles are supplementary. That means angles 1 and 2 total 180°.

  (x +10)° +(5x +50)° = 180°

  6x +60 = 180 . . . . . . . . . . . divide by °, collect terms

  x +10 = 30 . . . . . . . . . . . divide by 6

The measure of angle 1 is x+10, so is 30°.

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