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Sidana [21]
3 years ago
14

In ΔSTU, m∠S=(11x+3)∘,∠T=(2x+16)∘, and m∠U=(x+7)∘. Find .

Mathematics
1 answer:
frozen [14]3 years ago
6 0

Answer:

x = 11

Step-by-step explanation:

In ΔSTU ,

m∠S = (11x+3)° ; m∠T = (2x+16)° ; m∠U = (x+7)°

According to angle sum property of a triangle , sum of all the interior angles of the triangle is 180°.

So,

11x + 3 + 2x + 16 + x + 7 = 180

=  > 14x + 26 = 180

=  > 14x = 180 - 26 = 154

=  > x =  \frac{154}{14}  = 11

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