Question

in a cyclic quadrilateral abcd , twice the measure of angle a is thrice the measure of angle c find the measure of angle c

Answer 1

In a cyclic quadrilateral, the opp angles r supplementary. Thus
Angle A + angle C = 180

Now, 2*angle A = 3*angle C
Angle A = 1.5 * angle C

Putting this value in earlier equatin

1.5 angle C + 1 angle C = 180
Angle C =180/2.5
= 72°

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Answer 2

Answer:

∠C=72

Step-by-step explanation:

In a cyclic quadrilateral, opposite angles are supplementary.

⇒∠A+∠C=180  

 

Gien that  

⇒2∠A=3∠C

⇒∠A=1.5∠C

⇒1.5∠C+∠C=180  

 

⇒2.5∠C=180  

 

⇒∠C=72