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What is the value of k? Please provide an explanation, thanks!!

What is the value of k? Please provide an explanation, thanks!!-example-1

2 Answers

7 votes

Answer:

Step-by-step explanation:Answer: k = 19

because (6k+31)° is the outer angle of the triangle

=> (6k+31)° = (3k - 12)° + (6k - 14)°

⇔ 6k + 31 = 9k - 26

⇔ 9k - 6k = 31 + 26

⇔ 3k = 57

⇔ k = 57/3 = 19

Explanation:

User Kufi
by
6.4k points
3 votes

Answer: k = 19

because (6k+31)° is the outer angle of the triangle

=> (6k+31)° = (3k - 12)° + (6k - 14)°

⇔ 6k + 31 = 9k - 26

⇔ 9k - 6k = 31 + 26

⇔ 3k = 57

⇔ k = 57/3 = 19

Explanation:

User Mkimmet
by
6.9k points