we are given
Angles A and B are supplementary
we know that when angles are supplementary
then sum of all these angles must be 180
we have
first angle is A
second angle is B
we get
[tex]A+B=180[/tex]
now, we have
[tex]A=80[/tex]
so, we can plug it and solve for B
[tex]80+B=180[/tex]
Subtract both sides by 80
[tex]80+B-80=180-80[/tex]
[tex]B=100[/tex].................Answer
Answer:
B = 100°
Step-by-step explanation:
Two angles are said to be supplementary if the sum of both the angles is equal to 180 degrees.
Supplementary angles do not necessarily have to be next to each other as long as they add up to 180 degrees.
In the given problem, we know that angle A = 80°. If A and are supplementary angles, then:
[tex]A+B= 180[/tex]°
[tex]80°+B=180[/tex]°
[tex]B= 180°-80[/tex]°
[tex]B=100[/tex]°
Therefore, angle B = 100°.
