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If X is the measure of an angle 90 -X is the measure of the complement of the angle. If the measure of the angle equals four times the measure of the complement, what is the measure of the angle?

If X is the measure of an angle 90 X is the measure of the complement of the angle If the measure of the angle equals four times the measure of the complement w class=

Respuesta :

Answer:

x = 72

Explanation:

We know that x is frour times 90 - x, which gives

[tex]x=4(90-x)[/tex]

We now solve for x:

Expanding the right-hand side gives

[tex]x=4\cdot90-4x[/tex][tex]x=360-4x[/tex]

adding 4x to both sides gives

[tex]x+4x=360[/tex][tex]5x=360[/tex]

Finally, dividing both sides by 5 gives

[tex]x=\frac{360}{5}[/tex]

which gives

[tex]\boxed{x=72}[/tex]

which is our answer!

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