Question

classify the four angles of the quadrilateral. 105° 75° 90° 90° ∠a ∠b ∠c ∠d right acute obtuse

Explanation:

• A right angle is exactly \(90^{\circ}\).
• An acute angle is less than \(90^{\circ}\).
• An obtuse angle is greater than \(90^{\circ}\) but less than \(180^{\circ}\).

For \(\angle A = 90^{\circ}\), it is a right angle.

For \(\angle B=105^{\circ}\), since \(90^{\circ}<105^{\circ}<180^{\circ}\), it is an obtuse angle.

For \(\angle C = 75^{\circ}\), since \(75^{\circ}<90^{\circ}\), it is an acute angle.

For \(\angle D=90^{\circ}\), it is a right angle.

Answer:

• \(\angle A\): Right
• \(\angle B\): Obtuse
• \(\angle C\): Acute
• \(\angle D\): Right