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 :-
☀️It's given,One angle of a right triangle measures 60°.
- Let, the other acute angle will be x.
According to the question :-
![\qquad \longrightarrow {\purple {\underline{\underline{\pmb{\sf{ Sum_((All \:angles) )= 180°}}}}}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/3kty0a1k9ij8cbauhdkhktmmj1frqglue7.png)
![\qquad \pmb{\sf\longrightarrow 60° + 90° + x = 180°}](https://img.qammunity.org/2022/formulas/mathematics/high-school/rfq5r9wpp9pknkyy9mpl8j4guhyeusx84x.png)
![\qquad \pmb{\sf\longrightarrow 150° + x = 180°}](https://img.qammunity.org/2022/formulas/mathematics/high-school/mf90uo9r696tc1ww91ld7jzc02u1ofehcy.png)
![\qquad \pmb{\sf\longrightarrow x = 180° - 150°}](https://img.qammunity.org/2022/formulas/mathematics/high-school/gtz52cznljihor8b96br10bxg3sgum5uqa.png)
![\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 30°}}}}}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/xz5pu1kfe28em5u8pw65ahecii2j5rojzb.png)
Therefore–
- The other acute angle is 30°.
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