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bazaltina [42]
4 years ago
15

In geometry vertical angles are congruent, meaning they have the same degree measure. You see these when two straight lines form

and X shape. Angles that are opposite one another are called vertical angles. If two of these congruent angles have the same degree measure and angle 1 is (3x+10) degrees and angle 2 is (5x-4) degrees, set the expressions equal to one another and find the degree measure. Hint: Don't just solve for the variable X, you have to solve for degree measure by substitution. Do so in both expressions as a way to check your work. The degree measures should be the same if you solved for the variable correctly
Mathematics
1 answer:
Andrej [43]4 years ago
6 0

Answer:

The two angles are each 31 degrees.

Step-by-step explanation:

Find x

  • 3x + 10 = 5x - 4                 Add 4 to both sides
  • 3x + 10 + 4 = 5x - 4 + 4
  • 3x + 14 = 5x                       Subtract 3x from both sides.
  • 3x - 3x + 14 = 5x -3x
  • 14 = 2x                               Divide by 2
  • 14/2 = 2x/2                        
  • 7 = x                                   Switch  
  • x = 7

3x + 10

  • 3*7 + 10
  • 21 + 10
  • 31

5x - 4

  • 5(7) - 4
  • 35 - 4
  • 31
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