SOLUTION: angle A of triangle ABC is congruent to angle G of triangle FGH.angle B of triangle ABC and angle F of triangle FGH are supplementary. angle C measure 29 degree, and A measures 37

Algebra ->  Angles -> SOLUTION: angle A of triangle ABC is congruent to angle G of triangle FGH.angle B of triangle ABC and angle F of triangle FGH are supplementary. angle C measure 29 degree, and A measures 37       Log On


   



Question 80057: angle A of triangle ABC is congruent to angle G of triangle FGH.angle B of triangle ABC and angle F of triangle FGH are supplementary. angle C measure 29 degree, and A measures 37 degree. What is the measure of each angle in triangle FGH?
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the angles of a triangle is 180 degrees. Given angle A and angle C, you can calculate angle B:
B=180-29-37=114 degrees.
Since angle B and angle F are supplementary, they add up to 180. Hence, you know that:
F=180-114
highlight%28F=66+degrees%29
You are given the value of angle G, since it is congruent to angle A:
highlight%28G=37+degrees%29
Again, since the sum of the angles of triangle FGH is 180 degrees, you can now calculate H:
H=180-66-37
highlight%28H=77+degrees%29
Good Luck,
tutor_paul@yahoo.com