Question

PQ and RS are two parallel lines.find the value of x,y,z and give reason

Answer 1

4x=60°,3x=45° y=45°,z=135°

Answer 2

Heya!!

Thanks for asking the question!

Answer : x = 15° , y = 45° , z = 135°

Explanation :

Given,

RS || PQ

Therefore,

4x + 3x + 75 = 180 ( Co interior angles are supplementary )

7x + 75 = 180

7x = 105

x = 15°

In triangle ABC

75 + 4x + y = 180 ( Angle sum property in a triangle )

75 + 60 + y = 180

y = 180 - 135

y = 45°

Now,

z = 4x + 75 ( Exterior angle property )

z = 60 + 75

z = 135°


Hope it helps you : )