Question

1. consider the diagram below.

5a solve for x.
x = 45
you got it!
5b determine $m\angle c$.
$m\angle c = \square ^\circ$
the diagram has triangle abc, with an exterior angle at a of $101^\circ$, $\angle c=(2x-18)^\circ$, $\angle b=(x-16)^\circ$

Explanation:

Step1: Substitute x into angle C formula

We know $x=45$, so substitute into $m\angle C=(2x-18)^\circ$.
$m\angle C=(2\times45 - 18)^\circ$

Step2: Calculate the value

First compute $2\times45=90$, then subtract 18.
$m\angle C=(90-18)^\circ=72^\circ$

Answer:

$72$