How to find the missing angle of a triangle?
Understand the Problem
The question is asking how to calculate the missing angle in a triangle when the other two angles are known. This can be done using the fact that the sum of the angles in a triangle is always 180 degrees.
Answer
70 degrees
Answer for screen readers
The final answer is 70 degrees
Steps to Solve
- Determine the sum of the angles in a triangle
Each triangle has three angles, and the sum of these angles is always 180 degrees.
- Identify the known angles in the triangle
Assume the two known angles are $\theta_1$ and $\theta_2$. Let's call the missing angle $\theta_3$.
- Set up the equation
Since the sum of the three angles must equal 180 degrees: $$ \theta_1 + \theta_2 + \theta_3 = 180 $$
- Solve for the missing angle
Rearrange the equation to solve for $\theta_3$: $$ \theta_3 = 180 - \theta_1 - \theta_2 $$
- Substitute in the known values
If $ heta_1$ and $ heta_2$ are known, plug them into the equation to find $\theta_3$
For example, if $ heta_1 = 50^\ ext{\ -ted} heta_2 = 60^\ ext{\ -ted}$: $$\theta_3 = 180 - 50 - 60 = 70$$
The final answer is 70 degrees
More Information
The sum of interior angles in any triangle always add up to 180 degrees. This principle can help you find the missing angle easily.
Tips
A common mistake is forgetting that the sum of all angles in a triangle must equal 180 degrees. Be sure to subtract both known angles from 180.