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.∠ZTS and ∠NRQ are supplementary. m∠ZTS = (5x − 3)° and m∠NRQ = (2x + 1)°. Find the measure of each angle.
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.∠ZTS and ∠NRQ are supplementary. m∠ZTS = (5x − 3)° and m∠NRQ = (2x + 1)°. Find the measure of each angle.

User Alexey Solonets
by
6.0k points

1 Answer

6 votes
Well it’s simple really

We make

ZTS + NRQ = 180

5x - 3 + 2x + 1 = 180

7x - 2 = 180

7x = 182

x = 26

And then you plug in 26 for the value of x for both angles

ZTS = 5(26) - 3 = 127
NRQ = 2(26) + 1 = 53
User Julio Lopez
by
6.1k points
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