Question

the measure of the supplementary of an angle is 10 degree more than four times of original angle find the complementary angle of that particular angle
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Answer 1

Answer:

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Answer 2

Answer:

The complementary angle of that particular angle is $56^{o}$

Step-by-step explanation:

Supplementary angle of an angle x is $(180^{o} -x)$

Complementary angle of an angle x is $(90^{o} -x)$

It is told that the measure of supplementary of an angle is 10 degree more than four times of original angle.

It is asked to find the complementary of the particular angle.

Let the angle be x.

According to the given information,

$(180^{o} -x)=4x+10$

$180-10=4x+x$

$170=5x$

$x=\frac{170}{5} =34$

The particular angle is $34^{o}$.

Complementary angle of particular angle is $(90-34)^{o}=56^{o}$.

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