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ABCD is rhombus.If angle DAC=50° |
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Answer» -step explanation:Since ABCD is a rhombus⇒ ABCD is a parallelogram∴∠ADC = ∠ABC = 50°[opp angles of a parallelogram are equal] ∵ Adjacent sides of a rhombus are equal ∴ AD = AC⇒ ∠DAC = ∠ACD [angles OPPOSITE to equal sides are equal= X(say) ∴ In △ACD we have∠DAC + ∠ACD + ∠ADC = 180° ⇒ x + x + 50°= 180°⇒ 2X = 30° ⇒ x = 65°∴ ∠ACD = 65° . |
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