Question

PLZZZZZZZZZZ HELLLPPPPP ASAPPPL

Answer 1

The equation to find
`x` is
`(5\cdot x - 2)^(\circ) + (2\cdot x -2)^(\circ) + x^(\circ) = 180^(\circ)`.

The degree measure of each angle is:
`m\angle J = 113^(\circ)`,
`m\angle K = 44^(\circ)` and
`m\angle L = 23^(\circ)`.

Explanation:

From Euclidean Geometry we remember that the sum of internal angles in triangles equals 180°. If we know that
`m\angle J = (5\cdot x -2)^(\circ)`,
`m \angle K = (2\cdot x - 2)^(\circ)` and
`m\angle L = x^(\circ)`, then we construct the following equation of the triangle JKL in function of
`x`:

`m\angle J + m\angle K + m\angle L = 180^(\circ)` (1)

`(5\cdot x - 2)^(\circ) + (2\cdot x -2)^(\circ) + x^(\circ) = 180^(\circ)`

`8\cdot x -4 = 180^(\circ)`

`8\cdot x = 184`

`x = 23`

Finally, the measure of each angle is, respectively:

`m\angle J = (5\cdot x -2)^(\circ)`

`m\angle J = 113^(\circ)`

`m \angle K = (2\cdot x - 2)^(\circ)`

`m\angle K = 44^(\circ)`

`m\angle L = x^(\circ)`

`m\angle L = 23^(\circ)`