Triangles - Word Problems

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.

Answers:
1. 20°
2. 45°
3. 30°, 60°, 90°
4. 35°
5. 55°