The exterior angles of triangle UVW are ∠X, ∠Y, and ∠Z, and they are adjacent to ∠U, ∠V, and ∠W, respectively.

If m∠U is 27°, and m∠Y is 86°, what is m∠W?

Question

Chessie

Mathematics

30 October, 03:23

The exterior angles of triangle UVW are ∠X, ∠Y, and ∠Z, and they are adjacent to ∠U, ∠V, and ∠W, respectively.

If m∠U is 27°, and m∠Y is 86°, what is m∠W?

+2

Answers (1)

Know the Answer?

Melina Vaughan · Answer 1

m∠W = 67°

Explanation:

According to the triangle sum theorem, three angles added up together in a triangle must be 180°. To find the missing angle:

86°+27°+x°=180°

= 67°

The exterior angles of triangle UVW are ∠X, ∠Y, and ∠Z, and they are adjacent to ∠U, ∠V, and ∠W, respectively.If m∠U is 27°, and m∠Y is 86°, what is m∠W?

The exterior angles of triangle UVW are ∠X, ∠Y, and ∠Z, and they are adjacent to ∠U, ∠V, and ∠W, respectively.

If m∠U is 27°, and m∠Y is 86°, what is m∠W?