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Finding the Third Angle of a Triangle Given Two Angles
Apply the geometry problem-solving strategy to find an unknown angle when two angles of a triangle are given.
Problem: The measures of two angles of a triangle are and . Find the measure of the third angle.
- Read and draw: Sketch a triangle and label the known angles and ; label the unknown angle .
- Identify: The measure of the third angle.
- Label: Let = the measure of the unknown angle.
- Translate: Apply the angle sum property:
- Solve: Combine the known values: . Subtract from both sides: .
- Check: →
- Answer: The measure of the third angle is .
This example illustrates how the triangle angle sum property converts a geometry question into a simple one-step linear equation: add the two known angles, then subtract from .
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Elementary Algebra @ OpenStax
Ch.3 Math Models - Elementary Algebra @ OpenStax
Algebra
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Prealgebra
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Learn After
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