Respuesta :
The answer is not 44 it is 22
so x=22
I took the test
What is the measure of angle B in the triangle?
Enter your answer in the box.
m∠B=
1-44
1 - 44 - incorrect °
response - incorrect
Correct answers:
1-22
A triangle labeled ABC with angle A as one hundred twenty degrees, angle B as X degrees and angle C as parenthesis X plus sixteen parenthesis degrees
The measure of [tex]\angle B[/tex] in the triangle will be [tex]22^0[/tex] .
What is triangle ?
A triangle is a polygon with three edges and three vertices. Its angles sum property says that the sum of all angles of a triangle is equals to [tex]180^0[/tex] . i.e. [tex]\angle A +\angle B + \angle C=180^0[/tex]
We have,
[tex]\triangle ABC[/tex], in which,
[tex]\angle A =120^0[/tex],
[tex]\angle B=x^0[/tex]
[tex]\angle C=(x+16)^0[/tex]
So,
Using angle sum property;
[tex]\angle A +\angle B + \angle C=180^0[/tex]
Substituting values ,
[tex]120+x+(x+16)=180[/tex]
[tex]120+x+x+16=180[/tex]
[tex]2x=180-136[/tex]
[tex]2x=44[/tex]
[tex]x=22[/tex]
So,
[tex]\angle B = 22^0[/tex] and
[tex]\angle C = x+16=22+16=38^0[/tex]
Hence, we can say that the measure of [tex]\angle B[/tex] in the triangle will be [tex]22^0[/tex] .
To know more about triangle click here
https://brainly.com/question/2272632
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