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

Question

Mathematics

Zayden English

16 February, 22:16

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

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Answers (1)

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Cade · Answer 1

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