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Ð1 and Ð2 are congruent. If mÐ1 = 10x – 5 and mÐ2 = 6x + 15, then what is the degree measure of Ð1?

User Anky
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1 Answer

3 votes

Answer:

mÐ1 = 45

Explanation:

If Ð1 and Ð2 are congruent, then mÐ1 = mÐ2.

We have mÐ1 = 10x - 5 and mÐ2 = 6x + 15.

The equation:

10x - 5 = 6x + 15 add 5 to both sides

10x - 5 + 5 = 6x + 15 + 5

10x = 6x + 20 subtract 6x from both sides

10x - 6x = 6x - 6x + 20

4x = 20 divide both sides by 4

4x : 4 = 20 : 4

x = 5

Put the value of x to the expression 10x - 5:

10(5) - 5 = 50 - 5 = 45

User Drobs
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