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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? |
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Answer» 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 - brainly.in/question/5409195#readmore By Shashwat Sammy |
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