Question

In a cyclic quadrilateral ABCD, AB||CD. If ∆B= 80° then find the remaining angles of ABCD.​

Answer 1

$∠B+ ∠D = 180°$

$80°+ ∠D = 180°$

$∠D = 180°- 80°$

$∠D =100°$

$AB||CD \: \: \: \: so \:$

$∠B+ ∠C = 180°$

$80°+ ∠C = 180°$

$∠C= 180°- 80°$

$∠C =100°$

$∠a+ ∠C = 180°$

$∠A+110°=180°$

$∠A = 180°- 110°$

$∠A = 70°$

Answer 2

Answer: we know that,in a cyclic quadrilateral,

opposite angles are supplementary.

therefore m<C = 180-80= 100°

Step-by-step explanation: