Triangle angles 1

The Triangle angles 1 exercise appears under the Algebra basics Math Mission and Geometry Math Mission. This exercise applies basic facts about triangles to find missing angles.

Types of Problems

There is one type of problem in this exercise:

1. Find the measure of the missing angle: This problem provides a triangle with some angle measures and side measures provided. The student is asked to find a particular value that is missing and is labeled with a variable.

   

   Find the measure of the missing angle

Strategies

Knowledge of a few triangle facts are encouraged to ensure success on this exercise.

1. The sum of the angles in a triangle is $180^{\circ}$.
2. The sum of two non right angles in a right triangle are $90^\circ$.
3. An isosceles triangle has two congruent sides. These are across from two congruent base angles.
4. If the measure of the vertex angle in a triangle is x, then the base angles are ${\frac{180-x}{2}}$.

Real-life Applications

1. Finding angles in shapes is useful for art, architecture and urban planning.
2. Missing angle measure is important in trigonometry which has far reaching important applications in many fields such as physics and astronomy.