Question

In ❑PQRS, m∠Q is 10° less, m∠R is 20° less and m∠S is 30° less, then m∠P, then find measure of each angle.

Answer 1

Answer:

m∠P = 105°

m∠Q  = 95°

m∠R = 85°

m∠S = 75°

Step-by-step explanation:

let say m∠P  = X

m∠Q is 10° less => ∠Q = X - 10

m∠R is 20° less => ∠R = X - 20

m∠S is 30° less => ∠S = X - 30

sum of all angles of a quadrilateral = 360°

P + Q + R + S = 360°

=> X + X -10 + X -20 + X -30 = 360

=> 4X = 420

=> X = 105

m∠P = 105°

m∠Q  = 95°

m∠R = 85°

m∠S = 75°