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Sagot :
Answer:
54°
Step-by-step explanation:
Opposite angles of a parallelogram are congruent, so;
[tex]9x+9=8x+14 \\ \\ x=5 \\ \\ m\angle S=9(5)+9=54^{\circ}[/tex]
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
- Angle S = 54°
[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
In a Parallelogram, opposite angles are equal, so we infer that :
[tex] \qquad❖ \: \sf \:9x + 9 = 8x + 14 [/tex]
[tex] \qquad❖ \: \sf \:9x - 8x = 14 - 9[/tex]
[tex] \qquad❖ \: \sf \:x = 5 \degree[/tex]
Next,
Measure of Angle S is :
[tex] \qquad❖ \: \sf \:9x + 9[/tex]
[tex] \qquad❖ \: \sf \:9(5) + 9[/tex]
[tex] \qquad❖ \: \sf \:45 + 9[/tex]
[tex] \qquad❖ \: \sf \:54 \degree[/tex]
[tex] \qquad \large \sf {Conclusion} : [/tex]
- Angle S = 54°
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