Question
4)) Two of the angles in a triangle measure \( 86^{\circ} \) and \( 36^{\circ} \). What is the measure of the third angle?
Ask by Hill Lindsey. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The third angle is 58 degrees.
Solution
The sum of the angles in a triangle is 180°. Given two angles, 86° and 36°, you can find the third angle by subtracting their sum from 180°:
Third angle = 180° - 86° - 36°
Third angle = 180° - 122°
Third angle = 58°
So, the measure of the third angle is 58°.
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Simplify this solution Mind Expander
In a triangle, the sum of all three angles must equal \( 180^{\circ} \). Given that you already have two angles measuring \( 86^{\circ} \) and \( 36^{\circ} \), you can calculate the third angle by subtracting the sum of the known angles from \( 180^{\circ} \). So, \( 180^{\circ} - (86^{\circ} + 36^{\circ}) = 180^{\circ} - 122^{\circ} = 58^{\circ} \). Therefore, the measure of the third angle is \( 58^{\circ} \). Now you’re all set to impress your friends with your knowledge of triangle angles! 🎉 Keep practicing, and you'll be a geometry whiz in no time!
