Which measures are accurate regarding triangle jkl? check all that apply. m∠k = 84°m∠k = 94°k ≈ 3.7 unitsk ≈ 4.6 unitskl ≈ 2.5 unitskl ≈ 3.2 units

Option (1), (3) and (6) is correct.

m∠K = 84° , k ≈ 3.7 units and KL ≈ 3.2 units.

Step-by-step explanation:

  Given : ∠J = 58° , ∠L = 38°  and length of side JK = 2.3 units.

We need to check all the options and choose that follows.

First we find the measure of ∠K

Using angle sum property , Sum of angles of a triangle  is 180°

⇒ ∠J + ∠k + ∠L = 180°

⇒ 58° + ∠k + 38° = 180°

⇒  ∠k + 96° = 180°

⇒  ∠k   = 180° - 96°

⇒  ∠k   = 84°

Also using sine rule on ΔJKL , we get,

Substitute the values, we get,

Consider the last two ratios, we have,

On solving we get,

Also, now consider the first and last ratio, we get,

Thus, k ≈ 3.7 units and KL ≈ 3.2 units.

Option (1), (3) and (6) is correct.

the answer is b.)

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