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Question
Find the value of angle x in the following figure
Solution
m and n are parallel lines. l is the transversal
∴ Alternate interior angles are equal
∴ 2x + 15 = 3x − 40
2x + 15 − 15 = 3x − 40 − 15
2x + 55 = 3x − 55 + 55
2x + 55 = 3x
2x + 55 − 2x = 3x − 2x
55 = x
x = 55°
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