Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
$106^\circ$
$45^\circ$
$(2x-9)^\circ$
answer attempt 1 out of 2
$x = $

Explanation:

Step1: Sum angles to 180°

$$45 + 106 + (2x - 9) = 180$$

Step2: Simplify left side

$$45+106-9+2x = 142 + 2x$$

Step3: Isolate term with x

$$2x = 180 - 142$$

Step4: Solve for x

$$x = \frac{38}{2}$$

Answer:

$x = 19$