Respuesta :

Supernova

You know the two angles form a right angle (90 degrees) because they are supplementary to the right angle (forming a straight line). Make them add up to 90 in an equation.

40 + (6x + 2) = 90

Combine like terms.

42 + 6x = 90

Subtract 42 from both sides.

6x = 48

Divide both sides by 6.

x = 8

Creati

The angle is a straight angle. Straight angles measure 180°.

1 angles is a right angle, which measures 90°. Another angle is 40°. Add that and subtract it from 180.

[tex] 90 + 40 = 130 \\ 180 - 130 = 50 [/tex]

That means:

[tex] 6x + 2 = 50 [/tex]

Switch it around and it becomes:

[tex] 50 - 2 = 6x [/tex]

The sign changes when moved. First you were adding, now you're subtracting.

[tex] 50 - 2 = 48 \\ 48 = 6x [/tex]

Divide both sides by 6

[tex] \frac{48 \div 6}{6x \div 6} = \frac{8}{x} [/tex]

That means x = 8

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