Question

find the value of x in given figure

Answer 1

Answer:

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Answer 2

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Since, P and Q is a straight line

∴ angle POR + angle ROQ = 180° (linear pair)

=> 2x+60° + 3x-40° = 180°

=> 5x - 20° = 180°

=> 5x = 200°

=> x = $\dfrac{200°}{5}$

=> x = 40°

angle POR = 2x+60° = 2(40)+60° = 80°+60° = 140°

angle ROQ = 3x-40° = 3(40)-40 = 120°-40° = 80°