Question

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

Answer 1

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.

Answer 2

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!!