Question

The given diagram shows two intersecting straight lines.Find the values of x,y and z.​

Answer 1

Answer:

X=25⁰,Y=115⁰,Z=115⁰

Step-by-step explanation:

In the given figure,

2x+15⁰=3x−10⁰(Vertically opposite angles)

⇒3x−2x=15⁰+10⁰

⇒x=25⁰

Now, y+2x+15⁰=180⁰ (Linear pair)

y+2∗25⁰+15⁰=180⁰

⇒y+50⁰+15⁰ =180⁰

⇒y+65⁰=180⁰

⇒y=180⁰−65⁰

=115⁰

and z=y=115⁰(Vertically opposite angles)

x=25⁰,y=115⁰,z=115⁰