Question

A triangle has angles that measure 43°, 7 minus 3x.° and 6x.°. Which equation can be used to find the value of x?

Answer 1

The value of
`x` is 15.222. We need to use the following equation:
`9\cdot x = 137^(\circ)`

Explanation:

From Euclidean Geometry, we know that the sum of measures of internal angles in a triangle equals 180º. Then, we can find the value of
`x` by this formula:

`43^(\circ)+3\cdot x + 6\cdot x = 180^(\circ)` (1)

`9\cdot x = 137^(\circ)`

`x = 15.222`

The value of
`x` is 15.222.