Question

Draw two angles of ${45}^{\circ }$ at the ends of a line segment. Extend these rays. What shape do yo get? Measure the angled formed.

Answer 1

Let $AB$ be the line segment

Draw ${45}^o$ at ends of line segment

Let they meet at $C$

$\therefore$ the figure $ABC$ is a triangle as it is a triangle the sum of angles $={180}^o$

$45+45+\angle C=180$

$\angle C={90}^o$

$\therefore$ the measure of the angle formed $={90}^o$