Question

Finding angle measures between intersecting lines

Answer 1

Answer:

Step-by-step explanation:

∠EGB =  77      {Vertically opposite angles}

∠CGB = 90°

∠CGE + ∠EGB = ∠CGB

  x +  77 = 90

            x = 90 - 77

            x = 13

Answer 2

Answer:

x = 13⁰

Step-by-step explanation:

Since AGC is a right angle, AGD is also a right angle

(Sum of angles of straight line is 180, 180 - 90 =90)

Now, DGF + 77 = 90

or, DGF = 90 - 77

DGF = 13

Now we can say that DGF = x because opposite angles formed by intersecting lines are always equal.

So, x = 13⁰