4 Different Angles

Geometry Level 1

What is the sum of the blue angles?

27 0 ∘ 270^\circ 36 0 ∘ 360^\circ 18 0 ∘ 180^\circ 9 0 ∘ 90^\circ

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Chung Kevin by Chung Kevin , 46, Australia

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2 solutions

Chung Kevin
Nov 11, 2016

The sum of the blue angles, is equal to the sum of the angles in the green triangles, minus the angle on the line. Hence, it is equal to

2 × 18 0 ∘ − 18 0 ∘ = 18 0 ∘ 2 \times 180^\circ - 180^ \circ = 180^ \circ

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Lee Doolan
Dec 24, 2016

The sum of all of the angles in both rectangles is 180 + 180 = 360. The two unshaded angles sum to a straight line (180). So the blue ones are 360 (all) - 180 (unshaded) = 180 (blue)

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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