Question

if $\angle a$ is $116\degree$ then $\angle c$ is $116$ $\degree$ because they are vertical
if $\angle c$ is $123\degree$ then $\angle g$ is $123$ $\degree$ because they are corresponding
if $\angle d$ is $73\degree$ then $\angle f$ is $73$ $\degree$ because they are alternate exteri
if $\angle b$ is $78\degree$ then $\angle e$ is $\degree$ because they are same side interi
if $\angle h$ is $68\degree$ then $\angle f$ is $68$ $\degree$ because they are vertical
if $\angle b$ is $64\degree$ then $\angle h$ is $64$ $\degree$ because they are alternate interio
if $\angle a$ is $97\degree$ then $\angle f$ is $\degree$ because they are same side exteric
if $\angle c$ is $127\degree$ then $\angle e$ is $127$ $\degree$ because they are alternate interior
if $\angle e$ is $120\degree$ then $\angle a$ is $120$ $\degree$ because they are corresponding
if $\angle d$ is $72\degree$ then $\angle g$ is $\degree$ because they are same side exterior

Explanation:

Step1: Calculate ∠E (same-side interior)

Same-side interior angles sum to $180^\circ$.
$\angle E = 180^\circ - 78^\circ = 102^\circ$

Step2: Calculate ∠F (same-side exterior)

Same-side exterior angles sum to $180^\circ$.
$\angle F = 180^\circ - 97^\circ = 83^\circ$

Step3: Calculate ∠G (same-side exterior)

Same-side exterior angles sum to $180^\circ$.
$\angle G = 180^\circ - 72^\circ = 108^\circ$

Answer:

• If $\angle B$ is $78^\circ$ then $\angle E$ is $\boldsymbol{102^\circ}$
• If $\angle A$ is $97^\circ$ then $\angle F$ is $\boldsymbol{83^\circ}$
• If $\angle D$ is $72^\circ$ then $\angle G$ is $\boldsymbol{108^\circ}$