Question

Aflati masurile unghiurilor unui paralelogramABCD stiind ca m(A)=5x-49 si m(C)=3x+21

Answer 1

$ABCD-paralelogram \Rightarrow m(\ \textless \ A)=m(\ \textless \ C). \\ \\ Deci~5x-49=3x+21. \\ 5x-3x=21+49 \\ 2x=70 \\ x=35 (\textdegree) \\ \\ m(\ \textless \ A)=m(\ \textless \ C)=3 \cdot 35 \textdegree +21=126 \textdegree. \\ \\ m(\ \textless \ B)=m(\ \textless \ D)=180 \textdegree - m(\ \textless \ A)=180 \textdegree - 126 \textdegree =54 \textdegree.$

Answer 2

5x-49=3x+21=>5x-3x=21+49
x=35de grade
munghiA=munghiC=>3x35+2i=126grade
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