Question

State which of the following angles with a small letter in the following diagrams are acute, which are obtuse and which are reflex:

Answer 1

Classifying the required angle:

Acute angle is an angle measure less than $90°$.

Obtuse angle is an angle whose measure is greater than $90°$ and less than $180°$.

Reflex angle is n angle whose measure is greater than $180°$ and less than $360°$

Step 1: Measure the angle $x$ with the help of a protector

Hence, angle $x$ is an obtuse angle.

Step 2: Measure the angle $y$ with the help of a protector

Hence, angle $y$ is an acute angle.

Step 3: Measure angle $z$ with the help of a protector

Hence, angle $z$ is an obtuse angle.

Hence , angle $x,z$are obtuse angle and $y$ is acute angle .