Angles in Triangles
The three interior angles of any triangle always add up to .
No matter the shape of a triangle — equilateral, isosceles, scalene, right-angled — the sum of its three interior angles is always .
You can prove this by tearing off the three corners of any paper triangle and placing them together: they always form a straight line ().
To find a missing angle in a triangle, add the two known angles and subtract from :
Adjust angles A and B with the buttons. Angle C updates automatically so that the three always sum to .
Watch it work
Question: A triangle has angles of and . Find the third angle.
Step 1: Add the two known angles: .
Step 2: Subtract from : .
Check: . Correct.
Have a go
Q1. A triangle has angles and . Find the third angle.
.
. (This is an equilateral triangle.)
Q2. A right-angled triangle has one angle of . Find the third angle.
One angle is . So .
.
Q3. An isosceles triangle has a top angle of . Find the two equal base angles.
. The two base angles are equal, so divide by 2: .
Each base angle is .
Q4. Can a triangle have two obtuse angles? Explain.
No. Two obtuse angles would each be more than , giving a total greater than before the third angle is even counted.