Question

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 = submit answer show examples

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, $(7x - 3)+(5x - 17)+56=180$.

Step2: Combine like - terms

First, combine the x - terms and the constant terms on the left - hand side: $(7x+5x)+(-3 - 17 + 56)=180$, which simplifies to $12x+36 = 180$.

Step3: Isolate the variable term

Subtract 36 from both sides of the equation: $12x+36-36=180 - 36$, resulting in $12x=144$.

Step4: Solve for x

Divide both sides by 12: $\frac{12x}{12}=\frac{144}{12}$, so $x = 12$.

Answer:

$x = 12$