Question

the measure of an angle which is 4 times its supplement is:
a) 36degree
b) 144 degree
c) 16 degree
d) 64 degree
plz explain the the answer too
plz plz.................

Answer 1

$\sf{\huge{Heya\:mate.\: Solution\\below.}}$
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★ $<b><u><font color = "red">Answer - ↓↓↓</font color></u></b>$ ★




♠ $\sf{\underline{Supplementary \: angles\: -}}$


Two angles whose sum is 180° are called Supplementary angles.





♠ So, let the angle be 'x'.


Then, it's supplement would be = 180° - x





♠ Now, according to the question, the angle is four times it's supplement.


$\sf{=> 4(x) = 180 - x}$

$\sf{=> 4x + x = 180}$

$\sf{=> 5x = 180}$

$\sf{=> x = \frac{180}{5}}$

$\sf{=> x = 36}$




♠ So, x = 36°



♠ Now, the angles is 4 times it's supplement. So, the angles is,


$\sf{= 4 \times x}$

$\sf{= 4 \times 36}$

$\sf{= 144°}$





♥ •°• The angle is 144°. ♥
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Thank you... (^_-)

Answer 2

b.144 degrees

hope it helps u