Question

what is the value of v? v = □^{circ}

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 53°+43° + 3v=180°.

Step2: Simplify the left - hand side

First, add 53° and 43°: 53 + 43=96. The equation becomes 96+3v = 180.

Step3: Isolate the variable term

Subtract 96 from both sides of the equation: 3v=180 - 96. So, 3v = 84.

Step4: Solve for v

Divide both sides of the equation by 3: v=\frac{84}{3}=28.

Answer:

28