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cluponka [151]
3 years ago
5

One angle of a right triangle measures 61°. What is the measure of the other acute angle?

Mathematics
1 answer:
svetlana [45]3 years ago
8 0
The other answer is 29 degrees because 90 for right angle and 61 for one angle is 151 then subtract 180 (for the Triangle Sum theory) minus 151 then it’s 29 degrees
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\left\{\begin{array}{ccc}5x-y=5&|subtract\ 5x\ from\ both\ sides\\5x-3y=15\end{array}\right\\\left\{\begin{array}{ccc}-y=-5x+5&|change\ the\ signs-multiply\ both\ sides\ by\ (-1)\\5x-3y=15\end{array}\right\\\left\{\begin{array}{ccc}y=5x-5&(1^o)\\5x-3y=15&(2^o)\end{array}\right\\\\subtitute\ (1^o)\ to\ (2^o)\\\\5x-3(5x-5)=15\\5x-3(5x)-3(-5)=15\\5x-15x+15=15\\-10x+15=15\ \ \ \ |subtract\ 15\ from\ both\ sides\\-10x=0\ \ \ \ \ |divide\ both\ sides\ by\ (-10)\\\boxed{x=0}

subtitute\ value\ of\ x\ to\ (1^o):\\\\y=5(0)-5=0-5=\boxed{-5}\\\\Answer:\boxed{\boxed{\left\{\begin{array}{ccc}x=0\\y=-5\end{array}\right}}
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