Geometry and TrigonometryMediumLargest angle from angles in terms of k
Geometry and Trigonometry practice question
The three angles of a triangle measure 2k°, 3k°, and 4k°. What is the measure, in degrees, of the largest angle of the triangle?
Answer: 80
9k = 180 gives k = 20, so the largest angle is 4(20) = 80.
Common wrong answers
- If you answered 20
- 20 is k, not the largest angle.
- If you answered 40
- 40 is the smallest angle.
- If you answered 160
- 160 uses 360 instead of 180 for the angle sum.
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