Question

find the value of x , y and z in each of the following figures if l and m and a and b plz anyone say me answer​

Answer 1

a)

x = 2y ( corresponding angles are equal )

x + 106 = 180 ( sum of interior angles )

x = 180 - 106

x = 74°

x = 2y

》 74 = 2y

》 y = 74/2

》 y = 37°

Angle PQS = 106° ( alternate interior angles )

Angle PQS = 4z + 6 ( alternate interior angles )

》 106 = 4z + 6

》 4z = 100

》 z = 25°

therefore, x = 74° ; y = 37° ; z = 25°.

b)

2x + 90 + x = 180 ( straight line )

3x = 180 - 90

3x = 90

x = 90/3 = 30°

x = 2y ( alternate interior angles )

30 = 2y

y = 30/2 = 15°

2y + z = 180 ( linear pair )

30 + z = 180

z = 180 - 30 = 150°.

therefore, x = 30° ; y = 15° ; z = 150°

Hope it helps ❗

Answer 2

Answer:

Step-by-step explanation: