contestada

If 2a = 80 and b = c, what is the measure of b

A.) 40
B.) 50
C.) 80
D.) 100​

If 2a 80 and b c what is the measure of bA 40B 50C 80D 100 class=

Respuesta :

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]

Ver imagen Alleei
ACCESS MORE
EDU ACCESS