Geometry and TrigonometryHardValue of x from three angle expressions
Geometry and Trigonometry practice question
The three angles of a triangle measure (4x + 2)°, (3x + 10)°, and (5x + 24)°. What is the value of x?
Answer: 12
Sum to 180: 12x + 36 = 180, so 12x = 144 and x = 12.
Common wrong answers
- If you answered 15
- 15 comes from 12x = 180, forgetting the constant 36.
- If you answered 18
- 18 comes from 12x + 36 = 180 solved as 12x = 216 (adding 36).
- If you answered 36
- 36 is the sum of the constants, not x.
More Geometry and Trigonometry questions
- Hard
In a right triangle, one leg is 5 and the hypotenuse is 13. What is the length of the other leg? - Hard
A circle has a radius of 4. What is the length of an arc that subtends a central angle of 90°? - Hard
A circle is defined by the equation (x − 3)² + (y + 2)² = 25. What is the radius of the circle? - Hard
What is 135° expressed in radians? - Hard
What is the length of segment PT? - Hard
What is the measure, in degrees, of the central angle of this sector?
Not affiliated with the College Board. SAT is a trademark of the College Board.