Question

what is the value of v?
f
g
50°
50°
v+9
h
2v
i
v =
submit

Explanation:

Step1: Identify congruent triangles

Triangles \( \triangle FGI \) and \( \triangle HGI \) are congruent (by AAS: right angles, \( 50^\circ \) angles, and common side \( GI \)). So their corresponding sides are equal. Thus, \( v + 9 = 2v \).

Step2: Solve for \( v \)

Subtract \( v \) from both sides: \( v + 9 - v = 2v - v \), which simplifies to \( 9 = v \).

Answer:

\( v = 9 \)