Practice solving problems in geometry

**Quick Math Guide**

*⟁ Sum of all angles of a triangle = 180°*

*⟁*

*All sides and all angles of an equilateral triangle are equal*

*⟁*

*Each angle of an equilateral triangle measures 60°*

*⟁*

*Two sides and and two angles of an isosceles triangle are equal*

*⟁*

*A right angled triangle has one angle = 90°*

**Practice Worksheet**

1. Two angles of a triangle measure 50° and 110°. Find the third angle.

2. One of the acute angles in a right angled triangle measures 45°. Find the measure of the other acute angle.

3. The angles of a triangle are in the ratio 1 : 2 : 3. Find the angles.

4. One acute angle of a right angled triangle is 20° more than the other. Find the measure of the two acute angles.

5. In an isosceles triangle, the measure of the non-equal angle is 70°. Find the measure of the two equal angles.

See also: Quadrilaterals - Word Problems

Answers:

1. 20°

2. 45°

3. 30°, 60°, 90°

4. 35°

5. 55°