Question

in a triangle, one - angle is 53°, another is 57°, and the third is x°. options: x = 67, x = 68, x = 70, x = 72

Explanation:

Step1: Recall angle - sum property of triangle

The sum of interior angles of a triangle is 180°. So, we have the equation \(x + 53+57=180\).

Step2: Simplify the left - hand side

\(x+(53 + 57)=x + 110\). So the equation becomes \(x+110 = 180\).

Step3: Solve for x

Subtract 110 from both sides of the equation: \(x=180 - 110\).
\(x = 70\)

Answer:

\(x = 70\)