Question

Find the values of the angles x, y and z in given figure:
[3 marks]

Answer 1

${40}^{\circ }+x+{25}^{\circ }={180}^{\circ }\text{[Angles on straight line]}\Rightarrow {65}^{\circ }+x=180\Rightarrow x={180}^{\circ }-{65}^{\circ }={115}^{\circ }$
[1 Mark]

Now,${40}^{\circ }+y={180}^{\circ }\text{[Linear pair]}\Rightarrow y={180}^{\circ }-{40}^{\circ }={140}^{\circ }....\left(i\right)$
[1 Mark]

Also${140}^{\circ }+z={180}^{\circ }\text{[Linear pair]}\Rightarrow z={180}^{\circ }-{140}^{\circ }={40}^{\circ }Thus,x={115}^{\circ },y={140}^{\circ }andz={40}^{\circ }$
[1 Mark]