If angle 1 = (2x+5) and angle 7 = (4x-17), find x
1 answer:
The value of x is 11
What is supplementary angle ?
Two angles are said to be supplementary if their sums total 180 degrees. A linear pair's two angles, like angles 1 and 2 in the illustration below, are always supplementary. But two angles don't have to be close to one another to be supplementary. In the following image, 3 and 4 are supplementary since their sums equal 180 degrees.
Angles ∠1 and ∠7 are alternate exterior angles where a transversal crosses parallel lines, so are congruent.
∠ 1 = ∠ 7
∴2x + 5 = 4x - 17
4x - 2x =17+5
2x = 22
x =
x = 11
To learn more about supplementary angle from the given link
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