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# In the diagram below what is the value of x?

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In the diagram below what is the value of x?

Feb 10, 2021

#1
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The sum of the interior angles of a triangle is 180o

I'll set up the equation for you:   (16x + 4) + (14x + 6) + 50  =  180

combine like terms                       30x + 60  =  180

subtract 60 from both sides                 30x  =  120

divide both sides by 30                            x  =  4

Check the answer     16x + 4  =  64 + 4  =  68

14x + 6  =  56 + 6  =  62

50

Total ...................................................... 180

Where did the 50 come from?

That unlabeled interior angle is the supplementary angle of 130o

Supplementary angles total 180o

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Feb 10, 2021
edited by Guest  Feb 10, 2021
#2
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Thank you can you tell me how you got 50 because thats were i dont understand?

Guest Feb 10, 2021
#3
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50o is the supplementary angle on the other side of the 130o angle.

A straight line is 180o so when you add a line that makes two angles on it, the two total 180o.

I feel that I'm not doing a good job of explaining it.  Use google to look up supplementary angle

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Guest Feb 10, 2021