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One angle of a right triangle measures 60°. What is the measure of the other acute angle?

User Jordanwillis
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2 Answers

22 votes
22 votes

Answer:

30°

Explanation:

as sum of angles = 180°

so 180° -(90° + 60°) = 30°

User YuriyP
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15 votes
15 votes

Question :-

  • One angle of a right triangle measures 60°. What is the measure of the other acute angle?

Required solution :-

  • The other acute angle is 30°

Explanation :-


\qquad ☀️It's given,One angle of a right triangle measures 60°.

  • Let, the other acute angle will be x.


\qquad According to the question :-


\qquad \longrightarrow {\purple {\underline{\underline{\pmb{\sf{ Sum_((All \:angles) )= 180°}}}}}}


\qquad \pmb{\sf\longrightarrow 60° + 90° + x = 180°}


\qquad \pmb{\sf\longrightarrow 150° + x = 180°}


\qquad \pmb{\sf\longrightarrow x = 180° - 150°}


\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 30°}}}}}}

Therefore

  • The other acute angle is 30°.

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User Alwaysblue
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2.4k points