Question

1. if the sum of the angles of a triangle equals 180 degrees, write and use an equation to solve for x, then find the m∠a

Explanation:

Step1: Set up the equation

The sum of the interior - angles of a triangle is 180 degrees. So, the equation is $5x + 5x+130 = 180$.

Step2: Combine like - terms

Combining the $x$ terms, we get $10x+130 = 180$.

Step3: Isolate the variable term

Subtract 130 from both sides: $10x=180 - 130$, so $10x = 50$.

Step4: Solve for x

Divide both sides by 10: $x=\frac{50}{10}=5$.

Step5: Find the measure of angle A

Angle A is $5x$. Substitute $x = 5$ into $5x$, so $m\angle A=5\times5 = 25$ degrees.

Answer:

Equation: $5x + 5x+130 = 180$
$x = 5$
$m\angle A = 25$