Question

15 points. What is the value of k?

Answer 1

Answer:

k = 10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ZYM is an exterior angle of the triangle, thus

4k + 5 + 6k + 10 = 115, that is

10k + 15 = 115 ( subtract 15 from both sides )

10k = 100 ( divide both sides by 10 )

k = 10

Answer 2

Answer:

10

Step-by-step explanation:

< = angle

Step 1:

<YZX + <ZXY + <XYZ = 180°   Sum of a triangle

Step 2:

<XYZ = 180° - 115° = 65°   Supplementry <'s

Step 3:

6k + 10° + 4k + 5° + 65° = 180°       Algebra

Step 4:

10k + 80° = 180°     Algebra

Step 5:

10k = 100°      Algebra

Answer:

k = 10      

Hope This Helps :)