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Rashid [163]
2 years ago
6

In quadrilateral QRST, m is 68°, m is (3x + 40)°, and m is (5x − 52)°. What are the measures of , , and ? Write the numerical va

lues in that order with the measures separated by commas.
Mathematics
2 answers:
Pavlova-9 [17]2 years ago
8 0

Answer:

112,112,68

Step-by-step explanation:

jonny [76]2 years ago
7 0
TQRS is an inscribed quadrilateral.
5 x - 52° + 3 x + 40° = 180°
8 x - 12° = 180°
8 x = 180° + 12°
8 x = 192°
x = 192° : 8 = 24°
m∠ R = 3 · 24° + 40° = 112°
m∠ T = 5 · 24° - 52° = 68°
m∠ S = 360° - ( 68° + 68° + 112° ) = 112°
Answer:  
m∠R, m∠S, m∠T = <span>112°, 112°, 68°.</span>
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