To find the unknown angle in the diagram, we can follow these steps:
1. Write down the sum of the angles in a triangle, which is always 180 degrees.
Angles A + B + C = 180 degrees.
2. Substitute the known values into the equation.
106 degrees + y degrees + y degrees = 180 degrees.
3. Simplify the equation.
106 degrees + 2y degrees = 180 degrees.
4. Solve for y.
Subtract 106 degrees from both sides:
2y degrees = 180 degrees - 106 degrees.
2y degrees = 74 degrees.
Divide both sides by 2:
y degrees = 37 degrees.
So, the unknown angle in the diagram is 37 degrees.
Use the image to answer the question.
The angles of triangle A B C are labeled as follows: Angle A is 106 degrees and angles B and C are y degrees.
What are the steps to find the unknown angle in the diagram?
1 answer