Question

12. Find the values of the angles x,y,z in each of the following.

Please it's important.​

Answer 1

Answer:

A.1) x=55degree(vertically opposite angles)

2)As x=55degree, so y= 180-55=

125degree(Linear pair )

3)z=125degree(vertically opposite angle)

B. 1)x=40+25+x=180

65+x=180

x=180-65

=115degree (straight line)

2)z=40degree(Vertically opposite angle)

3)y=180-40

=140degree(Linear pair).

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Answer 2

i) x = 55 (opposite angles)

  y = (360 - 55 - 55) ÷ 2 = 125 (angles round a point, and then vertically opposite angles)

  z = 125 (vertically opposite angles)

ii) x = 180 - 40 - 25 = 115 (angles on a straight line)

   y = 180 - 40 = 140 (angles on a straight line)

   z = 40 (vertically opposite angle)