Question

What are the measures of the angles in the triangle below?

A) 6x + 10
B) x + 17
C) 4x - 34

Answer 1

The measures of the angles in the triangle are:

`A) \(6x + 10\)`

`B) \(x + 17\)`

`C) \(4x - 34\)`

Step-by-step explanation:

In a triangle, the sum of all three interior angles is always 180 degrees. Therefore, you can set up the following equation to find the value of
`\(x\):`

`\[ (6x + 10) + (x + 17) + (4x - 34) = 180 \]`

Combine like terms and solve for
`\(x\).`Once you have the value of
`\(x\),`substitute it back into each expression to find the measure of each angle:

`A)6x + 10`

`\[ B) x + 17 \]`

`\[ C) 4x - 34 \]`

This approach allows you to determine the specific angle measures in the given triangle.