Answer
[tex] m \angle B = 22 \degree[/tex]
Explanation:
Given:
[tex]\sf m \angle A = 120 \\ \sf m\angle B =x \\\sf m \angle C = x+16[/tex]
To find:
[tex]\sf m\angle B \: = ?[/tex]
Solution:
We know that,
sum of all the interior angle of triangle equals 180 degrees.
[tex]\sf m \angle A + m\angle B + m \angle C = 180 \degree \\ \sf 120 + x + x + 16 = 180 \degree \\ \: \sf 2x+136= 180\degree \\ \: \sf 2x=180-136 \\ \:\sf 2x=44 \degree \\ \sf \: x= \frac{44}{2} \\ \:\sf x= 22 \degree[/tex]
Measure of angle B is equal to x hence,
[tex] m \angle B = 22 \degree[/tex]
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