Question

One angle of a quadrilateral is 60° and the remaining three interior angles are equal. Find the measure of each of the remaining angles.​

Answer 1

Answer:

Let us assume the remaining three equal angles be x.

We know that according to the quadrilateral angle sum property, the sum of all the four interior angles is 360 degrees.

Sum of all interior angles of a quadrilateral is = 360o

60o + x + x + x = 360o

60o + 3x = 360o

3x = 360o – 60o

3x =  300o

x = 300/3

x = 100o

Each of three equal angles, x = 100o.

Answer 2

Step-by-step explanation:

Let ABCD be the quadrilateral.

Then, by Angle Sum Property of a quadrilateral,

Angle A+B+C+D= 360°

60°+B+B+B=360°

3B=360°-60°

B=300°/3

=100°

Therefore, the measure of each of the remaining angles is 100 0°