Question

Find m/EGD. (measurement in degrees)

Answer 1

Answer:

$\huge\boxed{\bf\:30^{\circ}}$

Step-by-step explanation:

We need to find m ∠EGD.

From the given figure, we can see that, ∠BGA & ∠EGD are vertically opposite angles (opposite angles that share the same vertex ⟶ G).

Also, vertically opposite angles are equal to each other.

Given,  ∠BGA = 30°

So,  ∠EGD =  ∠BGA = 30°.

$\rule{150pt}{2pt}$

Answer 2

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

from the given figure , we can easily see that ∠AGB = ∠EGD

this is because these angles are vertically opposite , i.e. , the angles that share the same vertex ! also , it's known that two angles that are vertically opposite are equal to each other !

$\therefore \: \bold{\angle \: EGD= 30\degree}$

hope helpful ~