kachinafenton6303 kachinafenton6303
  • 10-09-2020
  • Mathematics
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Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48

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abidemiokin
abidemiokin abidemiokin
  • 13-09-2020

Answer:

B. 16°

Step-by-step explanation:

The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;

(3x+5)° + 37° = 90°

open the parenthesis

3x+5 + 37° = 90°

3x+42 = 90

subtract 42 from both sides of the equation

3x+42-42 = 90-42

3x = 48

Divide both sides of the resulting equation by 3;

3x/3 = 48/3

x = 16

Hence the value of x is 16°

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