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

Question

2 years ago

13

angle JKL .

1 answer:

Natali [406] · Answer 1 · 2023-07-18T11:47:20+03:00

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°

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