Corollaries of the Angle-Sum Property of a Triangle (Leaving Cert Mathematics): Flashcards

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Corollaries of the Angle-Sum Property of a Triangle
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Sum of interior angles in any triangle

180∘180^\circ

If two angles are equal, triangle type?

Isosceles

Why do equal angles make a triangle isosceles?

Opposite sides are equal

Acute angles in right triangle relationship

Complementary

Complementary angles sum to

90∘90^\circ

Sum of 2 acute angles in right triangle

90∘90^\circ

Measure of right angle

90∘90^\circ

Triangle with 2 angles of 50∘50^\circ

Isosceles

Right triangle: 1 acute angle 35∘35^\circ, find other

55∘55^\circ

Corollary 1: If 2 angles equal?

Triangle is isosceles

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