Question

please anyone tell me the answer of this question​

Answer 1

Let the supplement be- x

3x+x=180(supplementary angle)

4x=180

x=180/4

x=45

Answer 2

Answer:

Given :

$\textsf{An angle is 3 times its supplement}$

To find :

$\textsf{The angles}$

Concept :

Let the angles be x .

So , it is 3 times to the supplement . So , the equation will like this -:

Supplemetary angle = 180°

$\sf{\boxed{So , x+3x={180}^{\circ}}}$

After find the first angle . Then , to find the second angle subtract it with 180 ° .

Solution :

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

$\sf{\implies{4x={180}^{\circ}}}$

$\sf{\implies{x=\dfrac{{180}^{\circ}}{3}}}$

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

So , the smaller angle is 45 ° .

Larger angle :

$\sf{\implies{x+{45}^{\circ}={180}^{\circ}}}$

$\sf{\implies{x={180}^{\circ}-{45}^{\circ}}}$

$\sf{\implies{x+{135}^{\circ}}}$

So , the larger angle is 135 ° .

Answer :

Smaller angle = 45°

Larger angle = 135°