Question

in quadrilateral , PQRS angle p = 60° and angle Q : angle R : angle S = 2:3:7 then find the measure of angle s​

Answer 1

Step-by-step explanation:

We have PQRS as the given quadrilateral.

We have ∠P = 60°

Let ∠Q = 2x ; ∠R = 3x ; ∠S = 7x

now, ∠P + ∠Q + ∠R + ∠S = 360° [ANGLE SUM PROPERTY]

⇒60° + 2x + 3x + 7x = 360°⇒60° + 12x = 360

⇒12x = 360° − 60°

⇒12x = 300°

⇒x = 25

so, ∠Q = 2x = 2×25 = 50°

∠R =3x = 3×25 = 75°

∠S = 7x = 7×25 = 175°

Answer 2

Answer:

angle Q= 50

angle R= 75

angle S=175

Step-by-step explanation:sum of angle q,r and  s = 360-60=300

divide 300 by total of ratios

= 25

multiply 25 by indivisual ratios