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Q.

The line d is parallel to e, as shown in the figure above. Find the value of y.

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a

148°

b

115°

c

158°

d

145°

answer is A.

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Detailed Solution

Concept: In the figure, y is the exterior angle of the triangle shown, having two of its opposite interior angles as 90°and  58°.
By exterior angle property, an exterior angle of a triangle is the sum of two of its opposite interior angles.
y=90°+58°=148°
Hence, the value of y is 148°

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