Question

The supplement of an angle is one-third of itself. Determine the angle and it's supplement.
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Answer 1

$\huge{\bf{\underline{\underline{\red{ANSWER}}}}}$

$\text{Let ths angle be x}$

$\text{Let the supplement angle be (180-x)^{\circ}}$

Atq.

• Supplement angle of an angle is one third of itself.

So,

$\implies\pink{x=\frac{1}{3}(180-x)}$

$\implies\pink{3x=180-x}$

$\implies\blue{4x=180}$

$\implies\blue{x=45^{\circ}}$

Hence,

Angle=45°

Supplement angle=180-45=135°.

EXPLORE MORE!!!!

• When sum of two angle is 90° then it is complementary angle.

• When two intersect each other than the angles are Vertically opposite.

• The sum of three angles of a triangle is 180°.

• When two Parallel lines are inteerested by a transversal the corresponding angles are equal.