Question

Find the values of unknowns x and y in the following diagram

Answer 1

${50}^{\circ }+x={120}^{\circ }\text{[Exterior angle property of a}\Delta ]\Rightarrow x={120}^{\circ }-{50}^{\circ }={70}^{\circ }Now,{50}^{\circ }+x+y={180}^{\circ }\text{[Angle sum property of a}\Delta ]\Rightarrow {50}^{\circ }+{70}^{\circ }+y={180}^{\circ }\Rightarrow {120}^{\circ }+y={180}^{\circ }\Rightarrow y={180}^{\circ }-{120}^{\circ }={60}^{\circ }$