Question

what is the measure of angle b in this triangle?
enter your answer in the box.
$m\angle b=\square^\circ$
in triangle abc, $\angle a=120^\circ$, $\angle b=x^\circ$, $\angle c=(x+16)^\circ$

Explanation:

Step1: Sum of triangle angles

The sum of interior angles of a triangle is $180^\circ$. So we set up the equation:
$$120 + x + (x + 16) = 180$$

Step2: Simplify the equation

Combine like terms and solve for $x$:
$$136 + 2x = 180$$
$$2x = 180 - 136$$
$$2x = 44$$
$$x = \frac{44}{2} = 22$$

Answer:

$22$