Question

If you know that {\circ}" alt="m\angle EHF=90^{\circ}" align="absmiddle" class="latex-formula"> and that $m\angle GHF=90^{\circ}$, what property/properties can you use to prove that $m\angle EHF=m\angle GHF$? Explain your answer.

Answer 1

Answer:

I would use Euclid's first axiom:

Step-by-step explanation:

Things that are equal to the same thing are equal to each other.

$\begin{array}{rcl}m\angle EHF & = & 90^{\circ} \text{ (Given)}\\m\angle GHF & = & 90^{\circ} \text{ (Given)}\\\therefore m\angle EHF & = & m\angle GHF \text{ (Euclid Axiom 1)} \\\textbf{QEF} & & \\\end{array}$