# In a trapezium PQRS, PQ ║ RS; and ∠P = 70° and ∠Q = 80°. Calculate the measure of ∠S and ∠R.

Let us consider trapezium PQRS with PQ||RS.

According to the problem, it is given that P = 700and Q = 800.

We know that the sum of adjacent angles between two parallel lines is 1800.

i.e, P + S = 1800 ...... - - (1)

Q + R = 1800. ...... - (2)

Substituting the value of P in eq(1) we get,

700 + S = 1800

S = 1800 - 700

S = 1100.

Substituting the value of Q in eq(2) we get,

800 + R = 1800

R = 1800 - 800

R = 1000.

The values of S and R is1100 and 1000.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Smart Revision | Let's Revise Properties of Polygon32 mins
Smart Revision | Let's Classify Quadrilaterals and Find their Properties34 mins
NCERT I Quiz on Understanding Quadrilaterals54 mins
Champ Quiz | Polygons (Quadrilaterals)30 mins
Genius Quiz | Understanding Quadrilaterals20 mins
Quiz | Polygon & their Properties46 mins