Question

1. classifying triangles: a triangle has one angle that is 110°. is it acute, right, or obtuse?
2. quadrilaterals: name a shape that has 4 right angles and 4 equal sides.

Explanation:

Sub - question 27 (Classifying Triangles)

Step1: Recall triangle definitions

• Acute triangle: All angles \(< 90^\circ\).
• Right triangle: One angle \( = 90^\circ\).
• Obtuse triangle: One angle \(> 90^\circ\) and \(< 180^\circ\).

Step2: Analyze the given angle

The triangle has an angle of \(110^\circ\). Since \(90^\circ<110^\circ < 180^\circ\), by the definition of an obtuse triangle, this triangle is obtuse.

Step1: Recall quadrilateral properties

• A square is a quadrilateral.
• A square has 4 right angles (each angle is \(90^\circ\)) and 4 equal - length sides.
• A rectangle has 4 right angles but not necessarily 4 equal sides. A rhombus has 4 equal sides but not necessarily 4 right angles. Only a square satisfies both having 4 right angles and 4 equal sides.

Answer:

Obtuse

Sub - question 28 (Quadrilaterals)