Question

find the values of angles x, y, z, in each of the following figures.​

Answer 1

Answer:

y+45=180 [Linear pair]

y=135

Now

x=45     [Vertically opposite angles]

Again

45+3z+2z = 180 [Sum of angles on the same side of plane is 180 ]

5z=135

z=27

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Answer 2

Answer:

In the figure,

y + 45 = 180

So y = 135

x and 45 are vertically opposite angles.

Hence x= 45

You can observe that

x + 2z+3z = 180

5z = 135

So z = 135/5 = 27