Question

In the figure find the value of x+y+z​

Answer 1

Step-by-step explanation:

let the unknown angle in the triangle be a

The sum of all angles of a triangle is 180°

•°•65+30+a=180°

95+a=180

a=180-95=85

x=180-30=150 (L.P.A.)

y=180-85=95 (----"----)

z=180-65=110 (----"----)

x+y+z=150+95+110

=355°

Answer 2

Answer:

By angle sum property,

$65 + 30 + a = 180 \\ 95 + a = 180 \\ a = 180 - 95 \\ a = 85$

By supplementary angle property,

$x + 30 = 180 \\ x = 180 - 30 \\ x = 150$

$y + 85 = 180 \\ y = 180 - 85 \\ y = 95$

$z + 65 = 180 \\ z = 180 - 65 \\ z = 115$

Now x+y+x is equal to

$x = 150 \\ y = 95 \\ z = 115$

$= x + y + z \\ = 115 + 95 + 150 \\ = 360$

Step-by-step explanation:

Hope It helps you out........