Question

The measure of all the angles of a quadrilateral PQRS are respectively in the ratio 7 : 9 : 11 : 13. What is the measure of the second largest angle?

Answer 1

Answer:

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Let 7x,11x,13x be the these angles of a quadrilateral 

Given 4th angle = 112∘

By angle sum property,

7x+11x+13x+112∘=360∘

31x=360∘−112∘=248∘

x=31248∘=8∘

∴7x=7×8∘=56∘11x=11×8∘=88∘

13x=13×8=104∘

Largets angle = 112∘

smallest angle = 56∘

Difference = 112∘−56∘=56∘

Answer 2

Answer:

7x+9x+11x+13x=360

40x=360

x=360/40

x=9

11x=11(9)

=99

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