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27 votes
27 votes
One angle of a right triangle measures 30∘. What is the measure of the other acute angle? Give your answer without units.

User Kregus
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2 Answers

24 votes
24 votes

Answer: 60

Explanation:

the 2 acute angles of a right triangle sump up to 90 degrees. The given angle is 30 degrees, so the unknown one must be 60 degrees.

I don't know why we would be asked to exclude the units on 60 degrees, unless this is to fill in a computerized form that just wants the digits.

User Jake Mulhern
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2.8k points
15 votes
15 votes

Hi, there.

_____

Angles in a triangle sum up to 180°, so:


\leadsto\sf{x+90+30=180}, because right triangles have an angle of 90°, and x is the unknown angle.

Combine like terms:


\leadsto\sf{x+120=180}

Subtract 120 from both sides:


\leadsto\sf{x=60}

Answer --


\leadsto\sf{x=60\textdegree}

Hope the answer - and explanation - made sense,

happy studying!!

User Victorkt
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2.8k points