Question

In a cyclic quadrilateral two adjacent angles are 40° and π÷3 find the angles of the quadrilateral in degree​

Answer 1

Hii Dear,

◆ Answer -

40°, 60°, 140° and 120

● Explaination -

We know that, opposite angles in a quadrilateral are supplementary angles.

Given are two adjacent angles,

∠A = 40°

∠B = π/3 rad = 60°

∠C = 180°-40° = 140°

∠D = 180°-60° = 120°

Therefore, angles of the quadrilateral are 40°, 60°, 140° and 120°.

Best luck. Hope this is useful..

Answer 2

Answer:

40° , 60° , 140° & 120°

Step-by-step explanation:

In a cyclic quadrilateral two adjacent angles are 40° and π÷3 find the angles of the quadrilateral in degree​

two adjacent angles are 40° and π÷3

π÷3 = 180°/3 = 60°

two adjacent angles are 40° and 60°

in Cyclic quadrilateral sum of opposite angles = 180°

Remaining two angles are

180°  - 40° = 140°

180° - 60° = 120°

Angles are  40° , 60° , 140° & 120°