Question

What is the correct classification for each given angle?

Answer 1

Answer:

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

Answer:

$\angle RQU=108^{\circ}$-Obtuse angle

$\angle SQU=89^{\circ}$-acute angle

$[tex]\angle RQT=90^{\circ}$- Right angle

Step-by-step explanation:

We are given that

$\angle RQS=19^{\circ}{/tex][tex]\angle SQT=71^{\circ}$

$\angle TQU=18^{\circ}$

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.