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2016 Math Kangaroo

Problem 3

Problem 3 · 2016 Math Kangaroo Easy
Geometry & Measurement area-decomposition

What is the sum of the two marked angles?

Figure for Math Kangaroo 2016 Problem 3
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Answer: C — 270°
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Hint 1 of 2
The four interior angles of a quadrilateral add to 360 degrees.
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Hint 2 of 2
Subtract the two unmarked (right) angles from 360 degrees to get the two marked angles together.
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Approach: angle sum of a quadrilateral
  1. The four interior angles of any quadrilateral sum to 360 degrees.
  2. Two of the angles are right angles (90 degrees each), totalling 180 degrees.
  3. So the two marked angles together are 360 − 90 = 270 degrees.
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