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vaieri [72.5K]
2 years ago
13

11. angle MLN and angle JLK are complementary, m angle MLN=7x-1 and m angle JLK=4x+3 . a. Solve for x b. Find m angle MLN and m

angle JKL .
Mathematics
1 answer:
Natali [406]2 years ago
4 0

a. Solve for x

Since  angle MLN and angle JKL are complementary, the value of x = 8

Since  angle MLN and angle JKL are complementary, their sum equal 90°.

Since  angle MLN = 7x - 1 and angle JKL = 4x + 3, we have that

7x - 1 + 4x + 3 = 90

Collecting like terms, we have

7x + 4x - 1 + 3 = 90

Simplifying, we have

11x + 2 = 90

Subtracting 2 from both sides, we have

11x = 90 - 2

11x = 88

Dividing through by 11, we have

x = 88/11

x = 8

So, Since  angle MLN and angle JKL are complementary, the value of x = 8

b. Find m angle MLN and m angle JKL .

Since angle MLN=7x-1 and angle JLK=4x+3  thus, angle MLN = 55° and angle JKL = 35°

Since angle MLN = 7x - 1 and x = 8, we have

angle MLN = 7x - 1

angle MLN = 7(8) - 1

angle MLN = 56 - 1  

angle MLN = 55°

Since angle JKL = 4x + 3 and x = 8, we have

angle JKL = 4x + 3

angle JKL = 4(8) + 3

angle JKL = 32 + 3

angle JKL = 35°

So, Since angle MLN=7x-1 and angle JLK=4x+3  thus, angle MLN = 55° and angle JKL = 35°

Learn more about complementary angles:

brainly.com/question/13389583

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