Question

find the value of x, y and z​

Answer 1

Answer:

x = 30°,y = 15°, z = 150°

Step-by-step explanation:

2x+90+x=180°. ( linear pair)

3x=90

x=30°

x=2y. ( alt.int.angles)

y=15°

2x+90=z. ( alt.int.angles)

60+90=z

z=150°

thanks

Answer 2

Answer:

x= 30°

y=15°

z=150°

Step-by-step explanation:

2x+x+90=180°      (angles on the same line sum=180°)

3x+90=180°

3x=180-90

3x=90°

x= $\frac{90}{3}$

x=30°

∠z and x are interior angles on the same side of the transversal, so their sum = 180°

30°+z=180°

z= 180-30

z= 150°

2y and z are a linear pair so their sum is also 180°

2y+150°=180°

2y=180-150

2y=30°

y=$\frac{30}{2}$

y=15°

Hope it helps you!