Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
answer
attempt 1 out of 2
$x=$
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Explanation:

Step1: Recall the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, if the angles of the triangle are \(55^{\circ}\), \(45^{\circ}\), and \(x^{\circ}\), then the equation is \(55 + 45+x=180\).

Step2: Simplify the left - hand side of the equation

First, add \(55\) and \(45\): \(55 + 45=100\). The equation becomes \(100 + x=180\).

Step3: Solve for \(x\)

Subtract \(100\) from both sides of the equation. Using the subtraction property of equality: \(x=180 - 100\).

Answer:

\(x = 80\)