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ICSE Class 7 Answered

I can't understand this question Two parallel lines l and m are intersected by a transversal t. If the interior angles on  same side of transversal are (2x−8)֩and (3x−7)֩Find the measure of these angles.
Asked by shahanakarthikeyan2020 | 23 Sep, 2020, 06:57: PM
answered-by-expert Expert Answer
This can be solved as follows:
 
The interior angles of the same side are supplementary.

(2x - 8)º + (3x - 7)º = 180º
5x - 15 = 180º
5x = 195º
x = 39º
2x - 8 = 70º
3x - 7 = 110º

The interior angles of the same side are supplementary.
(2x - 8)º + (3x - 7)º = 180º
5x - 15 = 180º
5x = 195º
x = 39º
2x - 8 = 70º
3x - 7 = 110ºSo

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