Two parallel lines L and M are cut by a transversal t. If the interior angles of the same side of t be (2x - 8)° and (3x-7)°, find the measure of each of these angles.
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Answer:
(2x-8)+(3x-7)=180
( measure of two interior angles is 180°)
2x-8+3x-7=180
5x-15=180
5x=180+15
5x=195
dividing both sides by 5 we get,
5x/5 = 195/5
x= 39
2x-8=39×2-8=70
3x-7=39×3-7=110
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