Question

Find the values of the angles x,y and z in each of the following​

Answer 1

Answer:

x = 65°

we know that the sum of all angles of a straight line is 180°

so y = 180°-65°

115° is angle y

we got angle y then we can easily find out the value of x .

115° + x = 180°

x = 180° -115°

x = 65°

by this we can also find z

180°-65° = 115°

x=65°

y=115°

z=65°

Answer 2

Answer:

x=65⁰, y= 115⁰, z = 115⁰

Step-by-step explanation:

from the given fig.

x= 65⁰ ( Vertically Opposite Angles)

y=z. ( Vertically Opposite Angles)

x+y+z+ 65⁰ = 360⁰

By substituting the values, we get

65⁰+y+y+65⁰ =360⁰. ( y=z)

=2y+130⁰ =360⁰

= 2y = 360⁰-130⁰

=2y = 230⁰

=y = 230/2

y = 115⁰

Therefore,

x= 65⁰

y= 115⁰

z= 115⁰