Question

 7b) Determine the measure of each missing angle.

Answer 1

G = 180 - 80 = 100 degrees

Explanation:

Since the sum of the interior angles of a triangle is 180 degrees, we can start by finding the measure of angle D:

180 - (70 + 30) = 80 degrees

Now we can use the fact that angles E and F are vertical angles (opposite angles formed by the intersection of two lines) to find their measures:

E = 70 degrees

F = 30 degrees

Finally, we can find the measure of angle G by using the fact that angles D and G form a straight line, which means their sum is 180 degrees: