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4.
A pair of angles is supplementary if the sum of their measures is 180°. A pair of angles is
complementary if the sum of their measures 90°. The supplement of a given angle is 10°
more than twice its complement. Let 90 - r equal the degree measure of its complement and
180 - x equal the degree measure of its supplement. Write and solve an equation to find the
measure of the given angle.

Respuesta :

calculista

Answer:

The measure of the given angle is 10 degrees

Step-by-step explanation:

Let

x ----> the measure of the given angle

180-x  ----> the supplement of a given angle

90-x -----> the complement of a given angle

we know that

The supplement of a given angle is 10°  more than twice its complement

so

[tex](180-x)^o=2(90-x)^o+10^o[/tex]

solve for x

[tex](180-x)^o=(190-2x)^o[/tex]

[tex]x=10^o[/tex]

therefore

The measure of the given angle is 10 degrees

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