Question

One angle of a quadrilateral is if 108degree and the remaining three angle are equal find each of the three equal angle​

Answer 1

ANSWERS

One angle of a quadrilateral is of 108° 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°, use this result and simplify it.

Step-by-step explanation:

Let each of the three equal angles be x°.

Now, sum of angles of a quadrilateral = 360°

⇒ 108° + x° + x° + x° = 360°

⇒ 3x° = 360° – 108°

x° = 252°/3

⇒ x° = 84°

∴ x° = 84°

Hence, each of the three equal angles is 84°.

Answer 2

Step-by-step explanation:

Let other 3 angles of uadilateral be a, b, c

Given- a=b=c

Sum of all angles of quadrilateral is 360 degree

Then a+b+c+d=360

a+a+a+108=360

3a=360-108

a=252/3

a=84 =b=c