Question

quadrilateral ABCD is cyclic the ratio of angle ABC to angle ADC is 7:11 and the ratio of angle BAD to angle BCD is 3:7 find the measure of each angle of quadrilateral ABCD
​

Answer 1

Answer:

619181

expand

Medium

Open in App

Open_in_app

Solution

verified

Verified by Toppr

(i) ∠BAD+∠BCD=180° (opposite angles of a cyclic quadrilateral are supplementary).

∴100°+∠BCD=180°

∠BCD=80°

(ii) ∠ADC=∠BCD (Alt angles are equal)

∠ADC=80°

(iii) ∠ABC=∠BAD (Alt angles are equal)

∠ABC=100°