Question

Help Brainleist 15 points

Answer 1

Z=22
180-120=60
2x+16=60
2x=44
Z=22

Answer 2

Answer

$m \angle B = 22 \degree$

Explanation:

Given:

$\sf m \angle A = 120 \\ \sf m\angle B =x \\\sf m \angle C = x+16$

To find:

$\sf m\angle B \: = ?$

Solution:

We know that,

sum of all the interior angle of triangle equals 180 degrees.

$\sf m \angle A + m\angle B + m \angle C = 180 \degree \\ \sf 120 + x + x + 16 = 180 \degree \\ \: \sf 2x+136= 180\degree \\ \: \sf 2x=180-136 \\ \:\sf 2x=44 \degree \\ \sf \: x= \frac{44}{2} \\ \:\sf x= 22 \degree$

Measure of angle B is equal to x hence,

$m \angle B = 22 \degree$

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