Respuesta :
supplementary angles add up to 180°.
x = measure of such angle
x + 20 = measure of her sibling.
since "x" has 20 less than her sibling, then clearly her sibling has to have 20 more than "x".
[tex] \bf (x)+\stackrel{sibling}{(x+20)}=180\implies 2x+20=180\implies 2x=160
\\\\\\
x=\cfrac{160}{2}\implies x=80 [/tex]
The measure of the angle exists at 80°.
How to measure an angle?
Supplementary angles add up to 180°.
Let x be the measure of such an angle
and x + 20 be the measure of her sibling.
Since "x" has 20 less than her sibling, then clearly her sibling has to contain 20 more than "x".
x + (x + 20) = 180°
2x + 20 = 180°
2x = 180° - 20°
2x = 160°
x = 160°/ 2
x = 80°
The measure of the angle exists at 80°.
Therefore, the correct answer is option C) 80.
To learn more about the measure of the angle
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