Given:-
Angle B = 90°
Angle C = 67°
To find:-
Angle A.
Solution:-
✅
Step-by-step Step-by-step explanation:-
We know that,
![\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}](https://img.qammunity.org/2022/formulas/mathematics/college/7zdb35f60gj33v3x5uwjogyympaqu5ijrl.png)
➪ ∠ A + ∠ B + ∠ C = 180°
➪ ∠ A + 90° + 67° = 180°
➪ ∠ A + 157° = 180°
➪ ∠ A = 180° - 157°
➪ ∠ A = 23°
![\sf\red{Therefore, \:the\: value \:of \:∠\: A\: is \:23°.}](https://img.qammunity.org/2022/formulas/mathematics/college/m034k6nfwfpeqta1hujj8nwktsucu9e0dt.png)
To verify:-
∠ A + ∠ B + ∠ C = 180°
✒ 23° + 90° + 67° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
![\boxed{Hence\:verified.}](https://img.qammunity.org/2022/formulas/mathematics/college/bugcgzubz7hdgwwapk4d9dwwkgcfnq7g9k.png)
Note:-
Please refer to the attached file.
![\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆](https://img.qammunity.org/2022/formulas/mathematics/college/jzvc6vfuebwmlm7jz9qimutrh90wgpg8g3.png)