Question

From the figure, a kite is made up of two triangles. Find the missing measure.

Answer 1

Calculate the value of angle x

We know that the sum of angles of triangle is $180°$

The triangle which have missing measure -

$$\begin{gathered} \Rightarrow {68}^{\circ }+{37}^{\circ }+x^{\circ }={180}^{\circ } \\ \Rightarrow {105}^{\circ }+x^{\circ }={180}^{\circ } \\ \Rightarrow x^{\circ }={180}^{\circ }-{105}^{\circ } \\ \Rightarrow x^{\circ }={75}^{\circ } \end{gathered}$$

Hence, the missing measure = ${75}^{\circ }$