Question

A 75${}^{\circ }$ angle can be made by drawing angle bisector between a 90${}^{\circ }$ angle arm and a ___${}^{\circ }$ angle arm.

Answer 1

A 75${}^{\circ }$ angle can be made by drawing angle bisector between a 90${}^{\circ }$ angle arm and a ${60}^{\circ }$ angle arm.
${75}^{\circ }=\frac{{90}^{\circ }+{60}^{\circ }}{2}$
Hence, bisecting 90${}^{\circ }$ and 60${}^{\circ }$, we get 75${}^{\circ }$.