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

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

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

Answer

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 11v + 20v+ 5°= 180°.

Step2: Combine like - terms

(11 + 20)v+5° = 180°, which simplifies to 31v+5° = 180°.

Step3: Isolate the variable term

Subtract 5° from both sides: 31v=180° - 5° = 175°.

Step4: Solve for v

Divide both sides by 31: v=$\frac{175}{31}\approx5.65$ (but if we assume the 5 is 5v) If the angles are 11v, 20v and 5v:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 11v + 20v+5v = 180°.

Step2: Combine like - terms

(11 + 20 + 5)v=180°, which simplifies to 36v = 180°.

Step3: Solve for v

Divide both sides by 36: v = 5.

Answer:

5