Find value of x in the figure
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Answer: x = 25°
Let the supplementary angle of 4x - 5 be 185 -4x
Let the supplementary angle of 4x + 20 be 160 - 4x
Let the supplementary angle of x be 180 - x
Let the supplementary angle of 5x - 5 be 185 - 5x
∴Sum of all interior angles = 360°
= 185 -4x + 160 - 4x + 180 - x + 185 - 5x = 360
= 185 + 160 + 180 + 185 -360 = 14x
= 190 + 160 = 14x
= 25 = x
∴ x = 25° ⇒ ANSWER
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