Question

Angle in a minor segment is

• A. A Right Angle
• B. An Acute Angle
• C. An Obtuse Angle
• D. A Reflexive Angle

Answer 1

The correct option is C

An Obtuse Angle

Identify the angle in minor segment.

Refer to figure.

Therefore,

$\begin{array}{c}2\angle ADB=m\left(arcBA\right)\\ 2\angle ADB=360°-m\left(arcAB\right)\\ 2\angle ADB=360°-\angle AOB\end{array}$

Know that $m\left(arcAB\right)=\angle AOB$and $\angle AOB<180°$.

So,

$\begin{array}{c}2\angle ADB=360°-180°\\ 2\angle ADB=90°\\ \Rightarrow \angle ADB>90°\end{array}$

Hence, the correct option is (c) i.e. an obtuse angle.