Question

In quadrilateral two angles are equal. The third angle is equal to the sum of the two equal angles. The fourth angle is 60degrees less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.

Answer 1

Answer: 35, 35, 70, and 220

Explanation:

– Let x = size of one of the two equal angles

The sum of angles in a quadrilateral is 360:

360 = x+ x + ( x+x ) x (2( x+ x+ x+x ) – 60)

360 = 4 + 2(4 ) – 60

360 = 4 + 8 – 60

360 = 12 – 60

12x = 420

= 35

Substituting x for 35, will get: 35, 35, 70, 220

The values of the angles are 35°, 35°, 70° and 220°