Question

I mark brainliest and said thank you but solve this question with explanation:-

question no 8;-
the measure of an angle which is four times its supplement is: (a)36° (b)144° (c) 16° (d)64°​

Answer 1

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°}

Answer 2

Answer:

$4x + x = 180$

$5x = 180$

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

$x = 36$

Now the measure of a angle which is four time its supplement is,

=36×4

=114°

Step-by-step explanation:

HOPE IT HELPS YOU OUT.....