The vertices A, B, C and D of a quadrilateral ABCD lie on a circle. ∠∠A is thrice ∠∠C and ∠∠D is twice ∠∠B. What is the difference between the measures of ∠∠B and ∠∠C?
Answers
Answered by
0
Answer:
Twice the measure of angle A is thrice the measure of angle C:
Step-by-step explanation:
⇒ 2A = 3C
⇒ A : C = 3 : 2
Define x:
Let x be the constant ratio
A : C = 3x : 2x
Cyclic quadrilateral is a quadrilateral inscribed in a circle.
⇒ The sum of the opposite angles of a cyclic quadrilateral is supplementary.
Solve x:
3x + 2x = 180
5x = 180
x = 36º
Find Angle C:
Angle C = 2x = 2(36) = 72º
Answer: Angle C is 72º
Click to let others know, how helpful is it
Read more on Brainly.in - https://brainly.in/question/5409195#readmore
By Shashwat Sammy
Similar questions