Find m∠RSQ and m∠TSQ
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Angle RST is a right angle .
So , Angle RST = 90°
=> Angle RQS + Angle QST = 90 °
=> 15 x - 43°+ 8x +18° = 90 °
=> 23x - 25 ° = 90 °
=> 23x = 90 °+25° = 115°
=> 23x = 115°
=> x = 115 °/23 = 5 ° .
Angle RSQ = 15x - 43° = 15 ×5 - 43° = 75°- 43° = 32°
Angle QST = 8x + 18 ° = 8 × 5 +18 °= 40 °+18° = 58° .
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