Question

The opposite angle of a cyclin quadrilateral are 3x and 7x find the measure
The answer is 54126 but how can anyone explain plz explain STEP BY STEP.​

Answer 1

Answer:

11 x is the solution

Explanation:

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Answer 2

$\sf{ \purple{\Large{Given:}}}$

◉ The opposite angles of cyclic quadrilateral are 3x and 7x.

$\sf{ \purple{\Large{To \: Find: }}}$

◕ Measure of both the angles.

$\sf{ \purple{\Large{Solution:}}}$

A quadrilateral is cyclic when a circle passes through all its four vertices.

Also, opposite angles of a cyclic quadrilateral add up to 180° or you can say they are supplementary.

So, we have:

☞ 3x +7x = 180°

☞ 10x = 180°

☞ $\sf{x = \dfrac{180 \degree}{10}}$

☞ x = 18°

We know one angle is 3x and the other angle is 7x, So after finding the value of x, we will find both the angles by putting the value of x.

One angle = 3x

Measure of one angle = 3 × 18°

Measure of one angle = 54°

Other angle = 7x

Measure of the other angle = 7 × 18°

Measure of the other angle = 126°

In the question above you have written the answer combined i.e., combining both the measures of angles but there are two angles, So first we will find one angle and then another.

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