Solving for Missing angles in Triangles

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Presentation transcript:

Solving for Missing angles in Triangles

All 3 angles in triangle add up to 180° A A+B+C=180° 45+90+45=180° B C 45 45° 45°

Knowing this we can solve for missing angles! 1) Add up the angles you know. 50+45=95° 2) Subtract from 180° 180-95= 85° A 50° 45° ? C B

Some Common Combinations Equilateral Triangles are also Equiangular . All angles are 60°. 60+60+60=180° A B C

Isosceles triangles The longest side is across from the largest angle. The other 2 angles and sides are equal. Example: If the large side is 120°, what are the other two? 30° 120 30 30

30-60-90 These 3 numbers often show up together. 30+60+90=180° 60° 30°

Lets get more complicated! Look for familiar combinations. D 4 2 5 3 6 C 60° E

Right bisectors If you see a right bisector in your triangle. It created two 90° angles. ? 30° 40°