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KATRIN_1 [288]
2 years ago
5

Please help me with this question <3 ASAP!

Mathematics
2 answers:
sertanlavr [38]2 years ago
6 0

Answer:

54°

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so;

9x+9=8x+14 \\ \\ x=5 \\ \\ m\angle S=9(5)+9=54^{\circ}

san4es73 [151]2 years ago
4 0

\qquad \qquad  \bf \huge\star \:  \:  \large{  \underline{Answer} }  \huge \:  \: \star

  • Angle S = 54°

\textsf{  \underline{\underline{Steps to solve the problem} }:}

In a Parallelogram, opposite angles are equal, so we infer that :

\qquad❖ \:  \sf \:9x + 9  =  8x + 14

\qquad❖ \:  \sf \:9x - 8x = 14 - 9

\qquad❖ \:  \sf \:x = 5 \degree

Next,

Measure of Angle S is :

\qquad❖ \:  \sf \:9x + 9

\qquad❖ \:  \sf \:9(5) + 9

\qquad❖ \:  \sf \:45 + 9

\qquad❖ \:  \sf \:54 \degree

\qquad \large \sf {Conclusion}  :

  • Angle S = 54°
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