InterviewSolution
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InterviewSolution
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In Fig. PQRS is a rhombus in which the diagonal PR is produced to T. If ∠SRT=152°, find x, y and z. |
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Answer» Given, PQRS is a rhombus ∠SRT = 152° We know that diagonals of a rhombus bisects each other at 90° Hence, ∠SOR = 90° = y = 90° ∠SRT+∠SRO = 180° (linear pair of angles) = 152°+∠SRO = 180° ∠SRO = 180° - 152°= 28° Now, ∠SRO = z ∵SR = SP = z = 28° And, ∠RSO +∠SRO + y = 180° (angle sum property of triangle) = ∠RSO + 28° + 90° = 180° = ∠RSO = 180°-118° = 62° = ∠X = ∠RSO = 62° (alternate angles) |
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