A triangle has angles measuring 48° and 67°. Find the measure of the third angle.
Solution
Problem
A triangle has angles measuring 48° and 67°. Find the measure of the third angle.
The interior angles of a triangle always add up to 180°.
Let the third angle be x.
Set up the equation:
48° + 67° + x = 180°
Add the known angles:
115° + x = 180°
Subtract 115° from both sides:
x = 65°
Therefore, the third angle measures 65°.
Result
65°