Question

The ratio between the adjacent angles of a parallelogram is 7: 8 respectively. Also the ratio
between the angles of quadrilateral is 5: 6:7:12. What is the sum of the smaller angle of
parallelogram and second largest angle of the quadrilateral ?

Answer 1

Correct Answer:

A) 168∘

Description for Correct answer:-

Let the adjacent angles be 7x∘and 8x∘.

Therefore, 7x + 8x = 180

=> 15x = 180

=> x = 12

Therfore, Smaller angle = 7 x 12 = 84°

Again. 5y + 6y + 7y + 12y = 360∘

=> 30y = 360°

= y =

Therefore, Second largest angle of the quadrilateral

= 7×12 = 84∘

Therefore, Required sum = 84 + 84 = 168∘