Answer:
MN = 3.03 ≈ 3
Step-by-step explanation:
Given: In ΔMNK MN = NK , m∠N = 110° and MK = 5.
To find: MN = ?
Sol: In ΔMNK,
∠M + ∠N + ∠K = 180° (sum of angles of a triangle)
2∠M = 180° - 110° ( ∠M =∠K since MN = MK)
∠M = 70°/2 = 35°
∴ ∠M = ∠K = 35°
Now, Using Sine Rule for finding sides,
Now ∵ sin 35° = 0.57 and sin 110° = 0.94 approx.
By substituting these values in above expression,
k =
k = 3.03
Therefore, MN = 3 approx.
