Respuesta :

calculista

Answer:

the measure of its complement is [tex]16\°[/tex]

Step-by-step explanation:

Let

x-----> the measure of an angle

y----> the measure of the complement of angle x

we know that

[tex]x+y=90\°[/tex] ----> equation A

[tex]x=5y-6[/tex] -----> equation B

Substitute equation B in equation A

[tex]5y-6+y=90[/tex]

Solve for y

[tex]5y+y=90+6[/tex]

[tex]y=96/6=16\°[/tex]

ernikhil

The measure of an angle is 6 less than 5 times its complement is [tex]16\textdegree[/tex].

If the sum of the angles is equals to [tex]90\textdegree[/tex] then, they are said to be complementary angles.

Let one of the angle be [tex]x\textdegree[/tex] then, according to the question, the measure of the second angle is 6 less than 5 times its complement so,

[tex]y=(5x-6)\textdegree[/tex]

As the angles are complementary so,

[tex]x+y=90\\x+5x-6=90\\6x=96\\x=16\textdegree[/tex]

Hence, the measure of an angle is 6 less than 5 times its complement is [tex]16\textdegree[/tex].

Learn more about complementary angles here:

https://brainly.com/question/5708372?referrer=searchResults

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