Question

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

Answer 1

Answer:

Step-by-step explanation:

Let each equal angle of given quadrilateral be X

We know that sum of all interior angle of a quadrilateral is 360

Therefore, X+X+X+144=360

3x=360-144

3x=216

X=72°

Hence, each equal angle of the quadrilateral i s of 72° measures

Hope it help you

Answer 2

Given :-

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

To Find :-

The angles of the quadrilateral.

Analysis :-

Consider the unknown angles as variables and make an equation accordingly.

Find the value of the variable.

Solution :-

Let the angles be 'x'

According to the angle sum property,

The sum of all the four interior angles is 360 degrees.

Making an equation,

$\sf x + x+ x + 144 = 360$

$\sf 3x + 144 = 360$

$\sf 3x = 216$

Finding the value of x,

$\sf x=\dfrac{216}{3}$

$\sf x=72$

Therefore, each angle of the quadrilateral is 72°