Solve for m
13x - 10
M
N
7x - 10
1 answer:
Answer:
x = 10
Step-by-step explanation:
Given:
Arc LM = 13x - 10
Arc MN = 7x - 10
Required:
Solve for x
Solution:
Recall: half a circle = 180°
Therefore,
Arc LM + Arc MN = 180°
13x - 10 + 7x - 10 = 180
Add like terms
20x - 20 = 180
20x - 20 + 20 = 180 + 20
20x = 200
20x/20 = 200/20
x = 10
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Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Given triangle LNK </u>
- m∠NLK = 72°
- m∠LNK = 58°
- m∠LKN = ?
<u>Interior angles sum to 180°</u>
- m∠NLK + m∠LNK + m∠LKN = 180°
- 72° + 58° + m∠LKN = 180°
- m∠LKN = 180° - 130°
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