need help with this poblem

Question

If angle F is 50 degrees what is the angle for angle G

Answer 1

Hi Precious,

The sum of the angles inside a triangle is 180 degrees. In this problem, side FG and side FE are the same length (using the tic marks in your diagram). That makes this an isosceles triangle.

Since the triangle is isosceles, then angles G and E are equal.

If we use the fact that the sum of all three angles is 180 degrees, then the sum of angle G and angle E will be 180 - 50 = 130 degrees.

This will be divided by 2 to find the measure of angle G and angle E:

130/2 = 65 degrees.

Both angles G and angle E are 65 degrees each.