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Ivan
3 years ago
13

Lindsay draws a right triangle and adds the measures of the right angle and one acute angle. Which is a possible sum of the two

angles?
Mathematics
2 answers:
Anon25 [30]3 years ago
6 0
Anything between 91 degrees and 179 degrees. You can pick any between these two.
Viktor [21]3 years ago
4 0

Answer:

90< \gamma< 180

Step-by-step explanation:

An acute angle is an angle that measures more than 0º and less than 90º. And a right angle is an angle that measures exactly 90º. Thus:

Let:

\alpha = Right\hspace{3}angle=90^{\circ}\\\beta= Acute\hspace{3}angle\hspace{10}0^{\circ}

So, in this sense, the sum of the two angles can´t be equal or greater than 180º, since \beta , also it has to be at least greater than 90º since \beta>0^{\circ}

Therefore the sum of the two angles is:

90^{\circ}< \gamma< 180^{\circ}

In another words, the sum is greater than 90º and less than 180º

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