Point Q lies on the straight line segment PR. If an adjacent angle on the line measures 80° and the remaining angles on the line total 10x, what is the value of 4x?

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A 100
B 40
C 20
D 10

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Answer: B. 40

Explanation: Angles on a straight line always add up to 180°. Subtracting the known angle gives the sum of the remaining angles: 180° - 80° = 100°. We are given that these remaining angles equal 10x, so 10x = 100, which means x = 10. The question asks for the value of 4x, so 4(10) = 40.

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Point Q lies on the straight line segment PR. If an adjacent angle on the line measures 80° and the remaining angles on the line total 10x, what is the value of 4x?

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