Respuesta :

SenorMathWiz

Answer:

c = 11

Step-by-step explanation:

The two angles form a right angle, indicated by the square at the corner of the angle. Right angles have a measure of 90 degrees.

This means that 2c + 8 + 6c - 6 must equal 90

2c + 8 + 6c - 6 = 90 solve for c

combine like terms

8c + 2 = 90

subtract 2 from both sides

8c = 88

divide both sides by 8

c = 11

[tex] \huge \mathfrak {equation}[/tex]

[tex](2c + 8) + (6c - 6) = 90[/tex]

This is because these two angles form a right angle

Combine like terms

[tex]8c + 2 = 90[/tex]

Subtract two from both sides

[tex]8c = 88[/tex]

Divide both sides by 8

[tex]c = 11[/tex]

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