Question

Two supplemntry angles are in the ratio 7 : 3, find its angles.​

Answer 1

Answer:

answer is 54 and 126 this

Answer 2

$\Large{\underbrace{\sf{\orange{Required\:Solution:}}}}$

Let the common number of both the angles be x.

Therefore, the angles will be 7x and 3x.

According to the question,

$\displaystyle{\sf{7x+3x=180^{\circ}}}$

• Solve this.

:$\implies{\sf{10x=180^{\circ}}}$

:$\implies{\sf{x=\dfrac{180}{10}}}$

:$\implies{\sf{x = \dfrac{18\cancel{0}}{1\cancel{0}}}}$

$\large\implies{\boxed{\sf{\purple{x=18}}}}$★

So, the angles will be

$\large{\overbrace{\sf{\pink{7x = 7\times 18=126^{\circ}}}}}$

$\large{\underbrace{\sf{\pink{3x=3\times 18 = 54^{\circ}}}}}$

Hence, the two supplementary angles will be 126° and 54°.

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