What is the measure of angle b in the triangle? enter your answer in the box. m∠b= ° 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 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 \(\angle B\) in the triangle will be \(22^0\) .
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 \(180^0\) . i.e. \(\angle A +\angle B + \angle C=180^0\)
We have,
\(\triangle ABC\), in which,
\(\angle A =120^0\),
\(\angle B=x^0\)
\(\angle C=(x+16)^0\)
So,
Using angle sum property;
\(\angle A +\angle B + \angle C=180^0\)
Substituting values ,
\(120+x+(x+16)=180\)
\(120+x+x+16=180\)
\(2x=180-136\)
\(2x=44\)
\(x=22\)
So,
\(\angle B = 22^0\) and
\(\angle C = x+16=22+16=38^0\)
Hence, we can say that the measure of \(\angle B\) in the triangle will be \(22^0\) .
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