Question

figure shows quadrilateral (abcd) with angles: (angle a = 90^circ), (angle b = 100^circ), (angle c = 60^circ), (angle d = 110^circ). to the right, a table with headers “right”, “acute”, “obtuse” and rows for (angle a), (angle b), (angle c), (angle d) (each row has three circles, one under each header, to mark the angle’s type).

Explanation:

Step1: Recall angle types

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

Step2: Analyze \( \angle A \)

\( \angle A = 90^\circ \), so it's a right angle.

Step3: Analyze \( \angle B \)

\( \angle B = 100^\circ \), since \( 90^\circ < 100^\circ < 180^\circ \), it's obtuse.

Step4: Analyze \( \angle C \)

\( \angle C = 60^\circ \), since \( 0^\circ < 60^\circ < 90^\circ \), it's acute.

Step5: Analyze \( \angle D \)

\( \angle D = 110^\circ \), since \( 90^\circ < 110^\circ < 180^\circ \), it's obtuse.

Answer:

	Right	Acute	Obtuse
\( \angle B \)			\( \circ \)
\( \angle C \)		\( \circ \)
\( \angle D \)			\( \circ \)