earthgurl123 earthgurl123

08-09-2022
Mathematics

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If l is parallel to m, find the values of x and y in the diagram below

If l is parallel to m find the values of x and y in the diagram below class=

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karlgauss4u karlgauss4u

08-09-2022

Answer:

(7x - 31) +63 + (5x - 8) = 180 (sum of co-interior angle adds up to 180)

7x +5x +63 - 31 - 8 = 180

12x = 180 + 31 +8 - 63

12x = 158

X= 156/12

X= 13

(4y+27) +(5x-8) = 180

4y +27 - 8 +5(13) = 180

4y= 180+8-27-5(13)

4y =96

Y= 96/4

Y = 24

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