Question

what is m∠hij? m∠hij = °

Explanation:

Step1: Set up the equation

Since the two - angle expressions represent the same angle, we set $5t=t + 36^{\circ}$.
$5t=t + 36^{\circ}$

Step2: Solve for $t$

Subtract $t$ from both sides of the equation.
$5t-t=t + 36^{\circ}-t$
$4t=36^{\circ}$
Then divide both sides by 4.
$t=\frac{36^{\circ}}{4}=9^{\circ}$

Step3: Find the measure of $\angle HIJ$

Substitute $t = 9^{\circ}$ into the expression for $\angle HIJ$. We can use either $5t$ or $t + 36^{\circ}$. Using $5t$, we have $m\angle HIJ=5\times9^{\circ}=45^{\circ}$.

Answer:

$45$