Question

the measures of the angles of a triangle are shown in the figure below. solve for x.

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, $x + 55+45=180$.

Step2: Simplify the left - hand side

$x+(55 + 45)=x + 100$. So, $x+100 = 180$.

Step3: Solve for x

Subtract 100 from both sides: $x=180 - 100$.

Answer:

$x = 80$