Geometry and TrigonometryEasyAngle left inside a right angle
Geometry and Trigonometry practice question
A right angle is divided into three angles by two rays from its vertex. Two of the three angles each measure 35°. What is the measure, in degrees, of the third angle?
Answer: 20
The three angles fill the right angle, so they add to 90: 90 − 35 − 35 = 20.
Common wrong answers
- If you answered 35
- The third angle isn't required to equal the other two; 35 + 35 + 35 = 105, more than 90.
- If you answered 55
- 55 is 90 − 35, subtracting only one of the two 35° angles.
- If you answered 110
- 110 is 180 − 70, using a straight angle instead of a right angle.
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