Q12 of 115 Page 9

If the supplement of an angle is two-third of itself. Determine the angle and its supplement.

Given that,

Supplement = of angle itself


Let the angle be x


Therefore,


Supplement = (180o – x)


According to the question


(180o – x) =


5x = 540o


x = 108o


Hence, supplement = 72o


Therefore, angle will be 108o and its supplement will be 72o.


More from this chapter

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If an angle differs from its complement by 10°, find the angle.

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If the supplement of an angle is three times its complement, find the angle.

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An angle is 14° more than its complementary angle. What is its measure?

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The measure of an angle is twice the measure of its supplementary angle. Find its measure.