Question

8) Find x if m/CBT = 11x - 3, m/CBA = 170°, and m/TBA=47x -1. T A B C​

Answer 1

To find the value of x, set up the angle sum equation as (11x - 3) + (47x - 1) = 170. Solve the equation by combining like terms and isolating x, resulting in x = 3.

Step-by-step explanation:

The student is asking to solve for x given three angle expressions involving x in a triangle. These expressions are for angles CBT, CBA, and TBA.

Step-by-step solution:

First, understand that the sum of angles CBT and TBA equals angle CBA because they are adjacent angles that form a straight line.

1. Set up an equation where the sum of m/CBT and m/TBA is equal to m/CBA: (11x - 3) + (47x - 1) = 170.
2. Combine like terms: 58x - 4 = 170.
3. Add 4 to both sides: 58x = 174.
4. Divide both sides by 58 to solve for x: x = 174 / 58.
5. Calculate the value of x: x = 3.

Therefore, the value of x is 3.