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y = 90°Solution:The reference image for the answer is attached below.The sum of opposite interior angles is equal to the exterior angles.m∠BAC + m∠ACB = 110°m∠BAC + 70° = 110°m∠BAC = 110° – 70°m∠BAC = 40°m∠BAD + m∠DAC = 40°x + x = 40°2x = 40°Divide by 2 on both sides of the equation.x = 20°In triangle DAC, Sum of all the angles of a triangle = 180°m∠DAC + m∠ACD + m∠CDA = 180°20° + 70° + m∠CDA = 180°90° + m∠CDA = 180°m∠CDA = 180° – 90°m∠CDA = 90°∠CDA and y lies on the straight line. So they form a linear pair.y + m∠CDA = 180°y + 90° = 180°y = 180° – 90°y = 90°The value of y is 90°.
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