Question

rectangle ABCD is a cyclic quadrilateral,angle A=3x° and angle C=2x° find measure of angle c​

Answer 1

Answer:

36

Step-by-step explanation:

In cyclic quadrilateral the sum of opposite angle are 180

A+C =180

2x+3x=180

5x=180

X=180/5

X=36

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Answer 2

Answer:

∠C = 72°

Step-by-step explanation:

Since, ABCD is a cyclic quadrilateral. The opposite angles are supplementary angles.

∴ ∠A + ∠C = 180°

here,

∠A = 3x° , ∠C = 2x° (given)

∠A + ∠C = 180°

3x° + 2x° = 180°

5x° = 180°

x° = 180°/5

x° = 36°

∴ ∠C = 2x° = 2 × 36° = 72°

(∠A = 3x° = 3 × 36° = 108°

∠A + ∠C = 108° + 72° = 180°)

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