Question

What is the correct classification for each given angle?

Drag and drop the answer into the box to match each angle.

Answer 1

Angle RQU is obtuse, since 19°+71°+18°=108° and 108° > 90°

Angle SQU is acute, since 71°+18°=89° and 89° < 90°

Angle RQT is a right angle, since 19°+71°=90°

None of the angles are straight angles, as they are not equal to 180°.

Answer 2

`\angle RQU=108^(\circ)`-Obtuse angle

`\angle SQU=89^(\circ)`-acute angle

`[tex]\angle RQT=90^(\circ)`- Right angle

Explanation:

We are given that

`\angle RQS=19^(\circ){/tex]</p><p>[tex]\angle SQT=71^(\circ)`

`\angle TQU=18^(\circ)`

We have to find angle RQU ,angle SQU and angle RQT and match with correct classification of angles.

`\angle RQU=\angle RQS+\angle SQT+\angle TQU=19+71+18=108^(\circ)`

The measurement of angle RQU is greater than 90 degrees.Therefore, it is an obtuse angle.

`\angle SQU=\angle SQT+\angle TQU=71+18=89^(\circ)`

The measure of angle SQU is less than 90 degrees.Therefore, it is an acute angle.

`\angle RQT=\angle RQS+angle SQT=19+71=90^(\circ)`

The measure of angle RQT is equal to 90 degrees .Therefore, it is right angle.