Qstnid -A-2- In Parallelogram Pqrs, ∠Q = (4x - 5)° And ∠S = (3x + 10)°. Calculate : ∠Q And ∠R. - 17: Special Types Of Quadrilaterals Class 8 Maths - Icse-viii-mathematics

Home Learn Fast select Course

Show Unit/Chapter Change Unit Change Subject Last Menu

ICSE-VIII-Mathematics

17: Special Types of Quadrilaterals Class 8 Maths

with Solutions -

Qstn# A-2 Prvs-Qstn Next-Qstn

#2
In parallelogram PQRS, ∠Q = (4x - 5)° and ∠S = (3x + 10)°. Calculate : ∠Q and ∠R.
Ans : In parallelogram PQRS,
∠Q = (4x - 5)° and ∠S = (3x + 10)°

opposite ∠s of //gm are equal.
∠Q = ∠S
4x - 5 = 3x + 10
⇒ 4x - 3x = 10 + 5
⇒ x = 15
∠Q = 4x - 5 = 4×15 - 5 = 55°
Also ∠Q + ∠R = 180°
⇒ 55° + ∠R = 180°
∠R = 180° - 55° = 125°
∠Q = 55° ; ∠R = 125°