What is the correct classification for each given angle?

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

Question

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Respuesta :

Estellia Estellia · Answer 1 · 2019-09-21T08:39:54+02:00

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 Link

lublana lublana · Answer 2 · 2019-10-10T20:52:10+02:00

Answer:

[tex]\angle RQU=108^{\circ}[/tex]-Obtuse angle

[tex]\angle SQU=89^{\circ}[/tex]-acute angle

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

Step-by-step explanation:

We are given that

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

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

[tex]\angle TQU=18^{\circ}[/tex]

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

[tex]\angle RQU=\angle RQS+\angle SQT+\angle TQU=19+71+18=108^{\circ}[/tex]

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

[tex]\angle SQU=\angle SQT+\angle TQU=71+18=89^{\circ}[/tex]

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

[tex]\angle RQT=\angle RQS+angle SQT=19+71=90^{\circ}[/tex]

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