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Can someone help me and explain this question?

Can someone help me and explain this question?-example-1

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Answer: 55 degrees

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Reason:

For any triangle, the inside angles always add to 180 degrees.

(angle1)+(angle2)+(angle3) = 180

(6x+13)+(79)+(6x+4) = 180

(6x+6x)+(13+79+4) = 180

12x+96 = 180

12x = 180-96

12x = 84

x = 84/12

x = 7

Then use this to compute angle A.

A = 6x+13 = 6*7+13 = 42+13 = 55 degrees

If you wanted, you can compute the other angle as well

6x+4 = 6*7+4 = 42+4 = 46 degrees

Then as a check:

(angle1)+(angle2)+(angle3) = (55)+(79)+(46) = 180

which confirms the answer.

User Dmitrynikolaev
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