Respuesta :

RQS is obtuse angle and TQS is acute angle

Answer:

RQS = 105 and TQS = 75  

Step-by-step explanation:

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A straight angle is 180 degrees

RQS = (13x + 1)

TQS = (9x + 3)

RQS + TQS = RQT

Our equation is...

(13x + 1) + (9x + 3) = 180

22x+4=180

22x=176

x = 8

Now we substitute x in these equations.

RQS = 105

(13x + 1)

(13(8) + 1)

= 105

-------------------------------------------------

TQS = 75

(9x + 3)

(9(8) + 3)

= 75

CHECK:

RQS + TQS = RQT

105 + 75 =180