Respuesta :

rachelblaiir

Answer:

6=x

5.375=y

Step-by-step explanation:

You add 57° and 37° together and get 94°

You subtract the 94° from 180° (the total of the angles for all triangles) and you get 86°.

So the third angle is 86°, but it is bisected, so you divide it in half.

43=7x+1

You subtract one from both sides, giving you 42=7x

you divide 42 by 7 and get 6, so x is 6.

You divide 8 by 43 to get y.

thaovtp1407

Answer:

y = 10 degrees

x = 6 degrees  

Step-by-step explanation:

The question here is to know the degrees of x and y

From the triangle JLM, we already knew the angles of ∠LJM = 57 and ∠JML = 37, so we need to find out the angle of ∠JLM.

Use the properties of a triangle that the sum of the 3 angles are 180 degrees.

So we have:

  • ∠JLM = 180 - ∠LJM  - ∠JML

<=> ∠JLM  = 180 - 57 - 37 = 86 degrees

However, ∠JLM = 2 ∠KLM because KL bisects JLM

<=> 86 = 2 (7x+1)

<=> x = 6 degrees

<=> ∠KLM = 43 degrees

<=> ∠KLJ = 43 degrees

From the triangle JKL,  we already knew the angles of ∠KLJ = 43 and ∠LJM = 57. So once again, we use the properties of a triangle that the sum of the 3 angles are 180 degrees.

<=> ∠LKM = 180 - ∠KLJ - ∠LJM

<=>  ∠LKM  = 180 - 43 - 57 = 80

<=> 8y = 80

<=> y = 10 degrees

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