Question

Question 2 (ii)
Find the values of unknowns x and y in the following diagram:

Answer 1

$y={80}^{\circ }\text{[Vertically opposite angle]}Now,{50}^{\circ }+x+y={180}^{\circ }\text{[Angle sum property of a}\Delta ]\Rightarrow {50}^{\circ }+{80}^{\circ }+x={180}^{\circ }\text{[From eq.(i)]}\Rightarrow {130}^{\circ }+x={180}^{\circ }\Rightarrow x={180}^{\circ }-{130}^{\circ }={50}^{\circ }$