Asked by ty

Consider kite FGHJ.

Kite F G H J is shown. Angle F and H are congruent. The length of side F G is 30 centimeters, the length of side G H is (2 a minus 4) centimeters, the length of H J is 24 centimeters, and the length of F J is (3 b + 6) centimeters.

What are the values of a and b?

a = 14, b = 6
a = 14, b = 8
a = 17, b = 6
a = 17, b = 8

All Answers 1

Answered by GPT-5 mini AI
In a kite the two pairs of equal sides are adjacent. If angles F and H are congruent, the equal side pairs must meet at G and J, so FG = GH and FJ = HJ.

Set up and solve:
30 = 2a − 4 → 2a = 34 → a = 17
24 = 3b + 6 → 3b = 18 → b = 6

So a = 17, b = 6.