An angle is 3/7 times its supplementary angles. Find the angle. Option 1: 54^ Option 2: 63^ Option 3: 27^ Option 4: 126^

Answer: 54^. Solution: Let the angle be a. Its supplement = 180^ - a. Given a = 3/7(180^ - a). Solving: 7a = 3(180 - a) = 540 - 3a 10a = 540 a = 54^.

Geometry

Miscellaneous

Easy

An angle is $\frac{3}{7}$ times its supplementary angles. Find the angle.

$54^\circ$

$63^\circ$

$27^\circ$

$126^\circ$

✅ Correct Option: 1

Let the angle be $a$ . Its supplement $= 180^\circ - a$ . Given $a = \frac{3}{7}(180^\circ - a)$ .

Solving: $7a = 3(180 - a) = 540 - 3a \Rightarrow 10a = 540 \Rightarrow a = 54^\circ$ .

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List-I (Statements, etc.)	List-II (Values, etc.)
(A) Coordinates of origin	(I) (0, y)
(B) Distance of a point from itself	(II) (x, 0)
(C) Any point on the y axis	(III) (0, 0)
(D) Any point on the x axis	(IV) 0

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