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hoa [83]
3 years ago
7

ON A TIME LIMIT PLS HELP!!!! thank youu

Mathematics
1 answer:
Slav-nsk [51]3 years ago
5 0

Answer:

RQS=110

TQS=70

Step-by-step explanation:

(12x+2)+(7x+7)=180

The two equations added together give us a straight line which is angle 180

19x + 9 = 180

19x = 171

We solve for x

x = 9

Now that we have x we plus in to each equation

RQS= (12(9)+2)

= 110

TQS=(7(9)+7)

=70

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Since it is formed by ∠CAD and ∠DAE, ∠CAE = 60+60 = 120°.

We know that an inscribed angle is 1/2 of the corresponding arc; since CD is 1/3 of the circle, it is 1/3(180) = 60; and this means that ∠DEC = 30°.
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