Question

Three angles of a quadrilateral are equal and the fourth angle is equal to 144° find each of the equal angles of the quadrilateral

Answer 1

Sum of angles of quadrilateral = 360°

let the equal angles be x, the fourth angle =144°

x+x+x+144°=360°=3x+144°=360°=

3x=360°-144°=216°

=3x=216° = x=216°/3=72°

The 3 equal angles are 72° .

Answer 2

Step-by-step explanation:

Given -:

• Three angles of a quadrilateral are equal
• Fouth angle = 144°

To Find -:

• Each equal angles of the quadrilateral

Explanation -:

Let us assume each equal angle of given quadrilateral as x.

We know,

Sum of all interior angles of a quadrilateral is 360°

So,

x + x + x + 144° = 360°

→ 3x + 144° = 360°

→ 3x = 360° - 144°

→ 3x = 216°

$→ \small\rm{x = \frac{216}{3} = 72 }$

$\small \boxed{\rm {x = 72}}$

Hence, each equal angle of the quadrilateral is of 72°