Geometry and TrigonometryEasy–MediumValue of x from two angle expressions
Geometry and Trigonometry practice question
Two angles of a triangle measure 3x° and 2x°, and the third angle measures 80°. What is the value of x?
Answer: 20
3x + 2x + 80 = 180 gives 5x = 100, so x = 20.
Common wrong answers
- If you answered 16
- 16 uses 6x = 100 with a slip.
- If you answered 36
- 36 divides 180 by 5, ignoring the 80.
- If you answered 100
- 100 stops at 5x = 100.
More Geometry and Trigonometry questions
- Easy–Medium
A circle has a radius of 6. What is its area? (Use A = πr².) - Easy–Medium
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse? - Easy–Medium
A circle has a radius of 5. What is its circumference? (Use C = 2πr.) - Easy–Medium
What is the midpoint of the segment joining the points (2, 3) and (8, 11)? - Easy–Medium
What is the measure, in degrees, of angle B? - Easy–Medium
What is the area, in square centimeters, of the trapezoid?
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