One angle of a quadrilateral is of $108 °$ and the remaining three angles are equal. Find each of the three equal angles.

Open in App

Solution

Let's take the unknown angle of the quadrilateral be $" x "$ .
One angle of quadrilateral = $108 °$ .
According to the angle sum property of a quadrilateral, “the sum of all the angles in a quadrilateral is always equal to $360 °$ ”.
Therefore, $x+x+x+108°=360°$
$3x=360°-108° 3x=252° x=252°÷3 x=84°$
Hence, the equal angles of quadrilateral is $84 ° .$

Suggest Corrections

Similar questions

Q. One angle of a quadrilateral is of

108^{o}

and the remaining three angles are equal. Find each of the three equal angles.

Q. One single of quadrilateral it of

108^{\circ}

and the remaining three angles are equal. Find each of the three equal angles.

Q. One angle of a quadrilateral is 111° and the remaining three angles are equal. Find three angles.

One angle of a quadrilateral is of $108^{\circ}$ and the remaining three angles are equal. Find each of the three equal angles. Thinking Process:
The sum of all the angles in a quadrilateral is $360^{\circ}$ , use this result and simplify it.

Q. Question 1
One angle of a quadrilateral is of

108^{\circ}

and the remaining three angles are equal. Find each of the three equal angles. Thinking Process:
The sum of all the angles in a quadrilateral is

360^{\circ}

, use this result and simplify it.

Join BYJU'S Learning Program

One angle of a quadrilateral is of108°and the remaining three angles are equal. Find each of the three equal angles.

One angle of a quadrilateral is of $108 °$ and the remaining three angles are equal. Find each of the three equal angles.