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Question

Measure and classify each angle.


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Solution

Step 1. Find the acute angles from the figure :

An acute angle is defined as that angle whose measure is less than 90° whereas an angle whose measure is equal to 90°is a right angle.

Refer to figure,

Therefore, it is clear that AOB and BOC are acute angles have measure 40°and85° respectively.

Step 2. Find the obtuse angles and straight from the figure :

An obtuse angle is defined as that angle whose measure is more than 90° and a straight angle has a measure of 180°.

Refer to figure,

Therefore, it is clear that AOC,DOC and DOA are obtuse angles have measure 125°,95° and 220° respectively and DOBis a straight angle.

Step 3. Find the reflexive angle.

A reflexive angle is an angle that is more than 180° and less than 360°.

Refer to figure,

Therefore, it is clear that DOAis a reflexive angle of measure 220°.

Hence, the measure of the angles AOB,AOC,BOC,DOC,DOA and DOB are 40°,125°,85°,95°,220°and180° respectively.


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