Geometry and TrigonometryHardAngle from a relation between angles
Geometry and Trigonometry practice question
In triangle GHK, angle G is 20° less than twice angle H, and angle K measures 20°. What is the measure, in degrees, of angle G?
Answer: 100
G + H + 20 = 180 and G = 2H − 20 give 3H = 180, so H = 60 and G = 100.
Common wrong answers
- If you answered 60
- 60 is angle H.
- If you answered 80
- 80 solves G = 2H − 20 with H = 50.
- If you answered 140
- 140 adds 20 instead of subtracting.
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