In triangle FGH, mF is 94°, mG is 49°, and mH is 37°. The exterior angles of triangle FGH are J, K, and L, and they are adjacent

Question

natka813 [3]

3 years ago

15

In triangle FGH, mF is 94°, mG is 49°, and mH is 37°. The exterior angles of triangle FGH are J, K, and L, and they are adjacent

to F, G, and H, respectively.
What is mK?
A. 86°
B. 49°
C. 143°
D. 131°

Mathematics

1 answer:

antiseptic1488 [7] · Answer 1 · 2022-01-30T19:46:58+03:00

antiseptic1488 [7]3 years ago

8 0

The answer is D, 131°.

The exterior angles theorem tells us that the measure of an exterior angle of a triangle is equal to the sum of the other two angles of the triangle. Since m∠G=94°, m∠K=180-94=131°.