Question

three angels of a quadrilateral are equal and the measure of the fourth angels is 120degree, find the measure of each the equal angels

Answer 1

Heya !

Here's your answer !!

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GIVEN

Three angles of a quadrilateral are equal

Fourth angle = 120°



TO FIND

Measure of each of the equal angles




SOLUTION

Let each equal angle be x°

We know,

Sum of all angles of a quadrilateral = 360°

A.T.Q.

=> x + x + x + 120 = 360

=> 3x = 360 - 120

=> 3x = 240

=> x = 240/3

=> x = 80°



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Ans) The measures of each of the equal angles is 80°




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Thanks !!

Answer 2

$\textbf{Answer}$:

80°

$\textbf{Step by step explanation}$:

For solving this question, you must know the Angle Sum Property in Quadrilaterals. If you don't know that, let me tell it to you first.

All the four angles in a Quadrilateral sum up to 360°. Lets come to the question now.

We are given that, out of four, three angles of a certain Quadrilateral are equal and the measure of the fourth angle is 120°. We are asked to find the measure of the three angles.

Let the measure of the three equal angles be x.

By Angle Sum Property of Quadrilaterals,

120° + x + x + x = 360°

3x = 360° - 120°

3x = 240°

x = 80°

Thus, the measure of eavh of the three equal angles is 80°.

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