Question

in the given figure find x y and z ​

Answer 1

Answer:

From the figure,

Consider the triangle MNO, We know that, sum of measures of interior angles of triangle is equal to 180

∠M+∠N+∠O=180

∠M+70 +90 =180

160 +∠M=180

∠M=180 −160∠M=20

We know that, sum of angles linear pair is equal to 180

So, x+90=180

By transposing we get,

x=180 −90 x=90

Therefore, the value of x is 90

.

Then, y+70 =180

By transposing we get,

y=180 −70 y=110

Therefore, the value of y is 110

.

Similarly, z+20=180

By transposing we get,

z=180 −20 z=160

Therefore, the value of z is 160

.

Hence, x+y+z

=90+110 +160

=360 ∘