Question

If $\theta$ is the angle between any two rays $OA$ and $OB$, then match the following:

• A. Acute Angle
• B. Reflex Angle
• C. Obtuse Angle
• D. Right Angle

Answer 1

Given $OA\&OB$ are the two rays originating from $O$.
And $\theta$ is the angle between them.
Acute Angles: Angles that are greater than or equal to $0^{\circ }$ but less than ${90}^{\circ }$
Or $0\le \theta <{90}^{\circ }$.

Right Angle: Angle equal to ${90}^{\circ }$
$\Rightarrow \theta ={90}^{\circ }$

Obtuse Angle: Angles greater than ${90}^{\circ }$ but less than ${180}^{\circ }$
$\Rightarrow {90}^{\circ }<\theta <{180}^{\circ }$

Reflex Angle: Angles greater than ${180}^{\circ }$ but less than ${360}^{\circ }$
$\Rightarrow {180}^{\circ }<\theta <{360}^{\circ }$