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UkoKoshka [18]
3 years ago
10

What is the measure of angle k?

Mathematics
2 answers:
Brums [2.3K]3 years ago
4 0

Answer:

63

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

6x-9 + 4x+7 = 118

Combine like terms

10x -2 =118

Add 2 to each side

10x = 120

Divide by 10

10x/10 =120/10

x = 12

We want to find angle k

k = 6x-9

  = 6*12 -9

   = 72 -9

   =63

Serjik [45]3 years ago
3 0

Answer:

63 \:  \: degrees

Step-by-step explanation:

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

4x + 7 + 6x - 9 = 118 \\ 10x - 2 = 118 \\ 10x = 118 + 2 \\ 10x = 120 \\  \frac{10x}{10}  =  \frac{120}{10}  \\ x = 12 \:  \: degrees

value \:  \:  \: of \:  \:  \: k \:  \: angle =  \\ 6x - 9 \\ 6 \times 12  - 9 \\ 72 - 9 \\  = 63 \:  \: degrees

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