Question

Find the values of the angles x, y and z in each of the following:

Answer 1

${40}^{\circ }+x+{25}^{\circ }={180}^{\circ }\text{[Angles on straight line]}\Rightarrow {65}^{\circ }+x=180\Rightarrow x={180}^{\circ }-{65}^{\circ }={115}^{\circ }Now,{40}^{\circ }+y={180}^{\circ }\text{[Linear pair]}\Rightarrow y={180}^{\circ }-{40}^{\circ }={140}^{\circ }....\left(i\right)Also{140}^{\circ }+z={180}^{\circ }\text{[Linear pair]}\Rightarrow z={180}^{\circ }-{140}^{\circ }={40}^{\circ }Thus,x={115}^{\circ },y={140}^{\circ }andz={40}^{\circ }$