Question

$\triangle ief \cong \triangle hgf$. find $a$.

Explanation:

Step1: Set congruent angles equal

Since $\triangle IEF \cong \triangle HGF$, corresponding angles $\angle I$ and $\angle H$ are equal.
$$5a = 2a + 3$$

Step2: Solve for $a$

Subtract $2a$ from both sides.
$$5a - 2a = 3$$
$$3a = 3$$
Divide both sides by 3.
$$a = \frac{3}{3}$$

Answer:

$1$