Question

classify the four angles of the quadrilateral.

Explanation:

Step1: Recall angle - type definitions

A right - angle is 90°, an acute angle is less than 90°, and an obtuse angle is greater than 90° but less than 180°.

Step2: Classify ∠A

Since ∠A = 90°, it is a right - angle.

Step3: Classify ∠B

Since ∠B=105° and 90° < 105° < 180°, it is an obtuse angle.

Step4: Classify ∠C

Since ∠C = 75° and 75°<90°, it is an acute angle.

Step5: Classify ∠D

Since ∠D = 90°, it is a right - angle.

Answer:

∠A: Right
∠B: Obtuse
∠C: Acute
∠D: Right