Answer:
[tex]\boxed{{\bf 94}^{ \circ}}[/tex]
Step-by-step explanation:
The Given two angles are supplementary angles.
Given angle :
[tex] \rightarrow86 {}^{ \circ}[/tex]
Solution :
We know that,
Two angles are known as supplementary angles if their sum is 180.Each angle is a supplement of other.
Let the measure of supplement be y.
So,
[tex]\tt \implies{y} + 86{}^{ \circ} = 180[/tex]
Now find the value of y of this equation, that would be the supplement.
[tex] \bf \: Step \: 1 : \rm \: Subtract \; 86{}^{ \circ}\; from \; both\; sides :-[/tex]
[tex]\tt \implies{y} + 86{}^{ \circ} - 86{}^{ \circ} = 180{}^{ \circ} - 86{}^{ \circ}[/tex]
[tex]\tt \implies{y} + 0{}^{ \circ} = 94{}^{ \circ}[/tex]
[tex]\tt \implies{y} = 94{}^{ \circ}[/tex]
Hence, 94° is the supplement of 86°.
[tex] \rule225pt{2pt}[/tex]
I hope this helps!
Let me know if you have any questions.
