Find the missing information for the triangle.
*not drawn to scale
• Make sure to find the missing angle measure and the 2 missing side
lengths.
Answer
5 (2 stars)
6
semsee45 2 years ago
2792 response - 0 helps

Answer:

m∠X = 60°

BX = 8 cm

BM = 4√3 cm

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°

Given:

  • m∠B = 30°
  • m∠M = 90°

⇒ m∠B + m∠M + m∠X = 180°

⇒ 30° + 90° + m∠X = 180°

⇒ 120° + m∠X = 180°

⇒  m∠X = 180° - 120°

⇒  m∠X = 60°

Using the sine rule to find the side lengths:

(where A, B and C are the angles, and a, b and c are the sides opposites the angles)

Given:

  • m∠X = 60°
  • m∠B = 30°
  • m∠M = 90°
  • MX = 4 cm

             

             

             

             

             

             

Answer
5 (2 stars)
5
fieryanswererft 2 years ago
2391 response - 0 helps

missing angle:

180° - 90° - 30°

180° - 120°

60°

missing sides:

(a)

(b)

Still have questions?