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Alik [6]
3 years ago
10

Hey! Please find the value of x, so I can find the value of angle H! Thanks

Mathematics
1 answer:
o-na [289]3 years ago
3 0
Hey there! :D

The congruence marks on the trapezoid make the angles congruent. This makes opposite angles supplementary. (Because all the angles in a trapezoid add up to 360 degrees)

12x-31+6x-5= 180

18x-36= 180

Add 36 to both sides. 

18x= 216 

Divide both sides by 18. 

x= 12

You can just plug that in to find m<H. 

6x-5

6(12)-5

72-5

m<H= 67

I hope this helps!
~kaikers




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(9x + 17) +2 \times  ( 5x + 15 ) + (6x - 12) = 360 \\

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Collect like terms

25x + 35 = 360

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25x + 35 - 35 = 360 - 35

25x = 325

Divide sides by 25

\frac{25x}{25}  =  \frac{325}{25}  \\

x = 13

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