markusovaevelyn11030 markusovaevelyn11030

11-10-2022
Mathematics

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Find the angle measures of the inscribed quadrilateralm

Find the angle measures of the inscribed quadrilateralm class=

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ssteitzsophiee15064 ssteitzsophiee15064

11-10-2022

In an inscribed quadrilateral, the sum of the opposite angles are always equal to 180 degrees

so that

10z +

(14z-7) + 8z = 180 degrees-------------(2)

From equation (2)

14z+8z= 180+7

22z = 187

22z/22 = 187/22

z= 8.5

From equation (1) and substituting for z

10(8.5) + 85 +

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