Question

the diagram shows a triangle. what is the value of v? v = □°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 91°+53°+(v - 48°)=180°.

Step2: Simplify the left - hand side

First, add the known angles: 91°+53°=144°. The equation becomes 144°+(v - 48°)=180°. Then, remove the parentheses: 144°+v - 48°=180°. Combine like - terms: v+(144° - 48°)=180°, which simplifies to v + 96°=180°.

Step3: Solve for v

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

Answer:

84