Find missing angles of triangles

Find missing angles of triangles
Description
Exercise Name:	Find missing angles of triangles
Math Missions:	Algebra basics Math Mission, High school geometry Math Mission, Mathematics I Math Mission
Types of Problems:	1

The Find missing angles of triangles exercise appears under the Algebra basics Math Mission, High school geometry Math Mission and Mathematics I Math Mission. This exercise practices finding missing angle measures in triangles using the properties of general triangles, isosceles triangles, and equilateral triangles.

Types of Problems

There is one type of problem in this exercise:

1. Evaluate the measure of the missing angle: This problem provides a triangle with two angle measures and side measures provided. The student is asked to find the measure of the missing angle and type it in the text box below.

   

   Evaluate the measure of the missing angle

Strategies

Knowledge of the triangle facts below are essential 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.
3. The ancient Egyptians from over 4000 years ago were very good at shapes and geometry. Every time the Nile burst its banks and flooded the planes, they had to use geometry to measure their gardens and fields all over again.