Question

three angles of a quadrilateral are equal and the fourth angle is 144 degree .find each of the equal angles of the quadrilateral

Answer 1

Answer:

72

Step-by-step explanation:

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Answer 2

Given:

Three angles of a quadrilateral are equal and the fourth angle is 144°.

To find:

Each of equal angles of the quadrilateral.

Solution:

The measure of equal angles of a quadrilateral is 72°.

To find the answer, we will follow the following steps:

As we know that in a quadrilateral ABCD having interior angles, angle a, angle b, angle c and angle d, the sum of four interior angles is equal to 360°.

This means,

angle a + angle b + angle c + angle d = 360°

Now, as given, we have,

Three angles of a quadrilateral are equal.

The fourth angle of a quadrilateral = 144°.

So,

let x be the measure of equal angles.

Thus, we have,

$x + x + x + 144° = 360°$

$3x + 144 = 360$

$3x = 216$

$x = 72°$

Hence, the equal angles of a quadrilateral are equal to 72°.