Question

Question 1 (iii)
Find the value of unknown x in the following diagrams.

Answer 1

$In\Delta XYZ,\angle ZXY+\angle XYZ+\angle YZX={180}^{\circ }\text{[By angle sum property of a triangle]}\Rightarrow {30}^{\circ }+{110}^{\circ }+x={180}^{\circ }\Rightarrow x+{140}^{\circ }={180}^{\circ }\Rightarrow x={180}^{\circ }-{140}^{\circ }={40}^{\circ }$