If 2a = 80 and b = c, what is the measure of b
A.) 40
B.) 50
C.) 80
D.) 100

Answer:
From what I can tell from the image, b is equivalent to B.) 50°
Step-by-step explanation:
So to start off 2a=80° there is 2 a's. so you subtract 80° from 180° to get 100°.
now b=c and their is 100° left over. So 100°/2 is 50° because if b=50° and c=50° both angles equal 100°.
Answer : The correct option is, (B) 50
Step-by-step explanation:
As we are given :
2a = 80
b = c
As we know that:
The sum of interior angles of a triangle is equal to [tex]180^o[/tex].
That means,
[tex]\angle A+\angle B+\angle C=180^o[/tex]
[tex]80^o+\angle B+\angle C=180^o[/tex]
and, [tex]\angle B=\angle C[/tex]
So,
[tex]80^o+2\angle B=180^o[/tex]
[tex]2\angle B=180^o-80^o[/tex]
[tex]2\angle B=100^o[/tex]
[tex]\angle B=\frac{100^o}{2}[/tex]
[tex]\angle B=50^o[/tex]
Thus, the value of 'b' is [tex]50[/tex]