¯¯¯¯¯¯¯¯PQ is perpendicular to the line segment ¯¯¯¯¯¯¯¯¯XY. ¯¯¯¯¯¯¯¯PQ and ¯¯¯¯¯¯¯¯¯XY intersect at A. What is the measure of ∠PAX and ∠XAY.
A
180∘ and 360∘
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B
90∘ and 90∘
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C
90∘ and 180∘
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D
180∘ and 180∘
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Solution
The correct option is C
90∘ and 180∘ Consider the following figure. From the figure, ∠PAX = 90∘ [Since PQ is perpendicular to XY] ∠XAY = 180∘ [Since XAY is a straight line and a straight angle is equal to 180∘]