Question

Please anyone solve it. ARGENT!!!!

ABCD is a cyclic quadrilateral. If AD || BC and B = 70°, find the other angles of ABCD.​

Answer 1

Answer: ∠A = 70° , ∠C = 110° and ∠D = 110°

Step-by-step explanation:

Since it is a cyclic quadrilateral the sum of opposite angles will be 180°.

So, ∠B + ∠D = 180

70 + ∠D = 180

∠D = 180 - 70 = 110°

Now, since AB║CD, then ∠B + ∠C = 180 (Interior angles)

70 + ∠C = 180

∠C = 180 - 70 = 110°

Now, sum of ∠A and ∠C will be 180° since they are opposite.

∠A + ∠C = 180

∠A + 110 = 180

∠A = 180 - 110 = 70°