Worked example: Triangle angles (diagram)
5:42
Khan AcademySal Khan
Worked example: Triangle angles (diagram)
We have a right triangle that's split into several smaller right triangles. The angle measures in any triangle always add up to 180 degrees. By using this fact and looking at complementary (adding up to 90 degrees) and supplementary (adding up to 180 degrees) angles, we can find the missing angle measures in the triangles.
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explaining on Instagram: "This diagram beautifully explains why the sum of all angles in a triangle is always 180° 📐✨ Each corner of the triangle is shown with different colors — green, blue, and red. When these three angles are placed together along a straight line (as shown at the top), they form a straight angle, which equals 180°. Geometrically, if you extend one side of the triangle and draw a line parallel to the opposite side, using the rules of alternate interior and corresponding angle
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