Geometry and TrigonometryMediumAngles in a 2:3:4 ratio
Geometry and Trigonometry practice question
The measures of a triangle's three angles are in the ratio 2:3:4. What is the measure, in degrees, of the largest angle?
Answer: 80
The parts sum to 9, so each part is 180 ÷ 9 = 20 degrees; the largest angle is 4 · 20 = 80.
Common wrong answers
- If you answered 40
- 40 degrees is the smallest angle (2 parts).
- If you answered 60
- 60 degrees is the middle angle (3 parts).
- If you answered 90
- The parts are 40, 60, and 80 — no right angle here.
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