Mathematics
In the given figure, ABCD is a parallelogram in which ∠A = 70°. Calculate ∠B, ∠C, ∠D.
Answer
Given,
∠A = 70°
ABCD is a parallelogram.
⇒ ∠C = ∠A = 70° [∵ opposite angles of a parallelogram are equal]
⇒ ∠A + ∠B = 180° [∵ AD ∥ BC and sum of Co-interior angles is 180°]
⇒ ∠B = 180° - ∠A = 180° - 70°
⇒ ∠B = 110°
⇒ ∠D = ∠B = 110° [∵ opposite angles of a parallelogram are equal]
Hence, ∠C = 70°, ∠B = 110° and ∠D = 110°.
Related Questions
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If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.
In the adjoining figure, ABCD is a parallelogram in which ∠BAD = 70° and ∠CBD = 50°. Calculate :
(i) ∠ADB
(ii) ∠CDB.
In the given figure, ABCD is a rhombus in which ∠A = 72°. If ∠CBD = x°, find the value of x.
