1. If the compliment of an angle is one-fourth of its supplementary angle, then the angle is
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By: anil on 05 May 2019 02.18 am
Let the angle be A Complement of an angle with A is given by $$(90^{circ} -A)$$ Supplement of an angle with A is given by $$(180^{circ} - A)$$ Now equation can be written as, $$90^{circ} - A$$ = $$frac{1}{4} (180^{circ} - A)$$ $$90^{circ} - A$$ = $$(45^{circ} - frac{A}{4})$$
$$A(1 - frac{1}{4}) = 45^{circ}$$ $$A = 60^{circ}$$ Hence, option B is the correct answer.
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$$A(1 - frac{1}{4}) = 45^{circ}$$ $$A = 60^{circ}$$ Hence, option B is the correct answer.