Question

what is the correct classification for each given angle? drag and drop the answer into the box to match each angle.

acute right obtuse straight

Explanation:

Step1: Recall angle definitions

- Acute angle: \(0^{\circ}<\theta < 90^{\circ}\)
- Right angle: \(\theta=90^{\circ}\)
- Obtuse angle: \(90^{\circ}<\theta < 180^{\circ}\)
- Straight angle: \(\theta = 180^{\circ}\)

Step2: Analyze \(\angle RQU\)

\(\angle RQU = 19^{\circ}\). Since \(0^{\circ}<19^{\circ}<90^{\circ}\), it is an acute angle.

Step3: Analyze \(\angle SQU\)

\(\angle SQU=19^{\circ}+71^{\circ}=90^{\circ}\). So it is a right angle.

Step4: Analyze \(\angle RQT\)

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Answer:

Step1: Recall angle definitions

• Acute angle: \(0^{\circ}<\theta < 90^{\circ}\)
• Right angle: \(\theta=90^{\circ}\)
• Obtuse angle: \(90^{\circ}<\theta < 180^{\circ}\)
• Straight angle: \(\theta = 180^{\circ}\)

Step2: Analyze \(\angle RQU\)

\(\angle RQU = 19^{\circ}\). Since \(0^{\circ}<19^{\circ}<90^{\circ}\), it is an acute angle.

Step3: Analyze \(\angle SQU\)

\(\angle SQU=19^{\circ}+71^{\circ}=90^{\circ}\). So it is a right angle.

Step4: Analyze \(\angle RQT\)

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