Question

For cyclic quadrilateral abcd, angle a-angle c=20. Then find a

Answer 1

Answer:

160°

Step-by-step explanation:

For cyclic quadrilateral abcd, angle a-angle c=20. Then find a

cyclic quadrilateral abcd

A quadrilateral abcd is cyclic if and only if its opposite angles are supplementary

now a and c are opposite angles

so

∠a + ∠c = 180°

∠c = 20° (given)

=> ∠a  + 20° = 180°

=> ∠a = 160°

So Angle a = 160°

Answer 2

Answer:

The measure of ∠a = 160°

Step-by-step explanation:

Given that for cyclic quadrilateral abcd, ∠c=20.

We have to find the value of ∠a

A quadrilateral abcd is cyclic if and only its opposite angles are supplementary i.e sum of its opposite angles is 180°

As ∠a and ∠c are opposite angles

∴ ∠a + ∠c = 180°

∠c = 20° (given)

⇒ ∠a  + 20° = 180°

⇒ ∠a = 180-20°=160°

∴ The measure of ∠a = 160°