Question

in a cyclic square abcd twice the measure of ∠a is thrice the measure of ∠c. find the measure of ∠c​

Answer 1

$\underline{\boxed{\bold{Question:}}}$

in a cyclic square abcd twice the measure of ∠a is thrice the measure of ∠c. find the measure of ∠c

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$\underline{\boxed{\bold{Answer:}}}$

In a cyclic quadrilateral, opposite angles are supplementary

➜∠A+∠C=180⁰

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$\underline{\boxed{\bold{Given \: that}}}$

➜2∠A=3∠C

➜∠A=1.5∠C

➜1.5∠C+C=180⁰

➜2.5∠C=180⁰

➜∠C=72⁰

[Hope this helps you.../]

Answer 2

Answer:

72⁰

Step-by-step explanation:

In a cyclic quad. sum of oppsite angles is equal to 180⁰.

So, LA+ LC= 180⁰ ...........1

Given,

2 LA= 3LC

So, LA= 3LC/2............2

Putting 2 in 1 we get

3LC/2 + LC= 180⁰

So, 5LC= 360⁰

Or, LC= 72⁰

Hope it helps

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