295,780 views
42 votes
42 votes
Angles G and F form a right angle together. Angle G is 15 degrees greater than Angle F. What are the

measurements of Angle G and F. Write an equation to help you solve.

User Danny Fox
by
3.0k points

1 Answer

9 votes
9 votes

Answer:

F=37.5°

G=52.5°

Explanation:

G and F form 90°

=> G+F = 90° ---->1

And, G = F +15° ---> 2

Using 2 in 1,

F+15+F = 90

2F+15 = 90

Subtract 15 from both the sides,

2F+15-15 = 90-15

=> 2F = 75

Divide by 2,

F = 37.5°

Using 2,

G = 37.5 + 15 = 52.5°

User Vuongvu
by
3.2k points