Respuesta :

Answer:

30°

Step-by-step explanation:

as sum of angles = 180°

so 180° -(90° + 60°) = 30°

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 :-

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

  • Let, the other acute angle will be x.

[tex]\qquad[/tex] According to the question :-

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

[tex]\qquad \pmb{\sf\longrightarrow 60° + 90° + x = 180°}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 150° + x = 180°}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow x = 180° - 150°}[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 30°}}}}}}[/tex]

Therefore

  • The other acute angle is 30°.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

ACCESS MORE