To find:-
The measure of angle A.
Solution:-
[tex]{\boxed{\mathcal{\red{B.\:Angle\: A \:=\: 40° \:}}}}[/tex]✅
Step-by-step explanation:-
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ 90° + x + 51 + x + 41 = 180° ( 90° since it is a right-angled triangle )
➪ 2 x + 182° = 180°
➪ 2 x = 180° - 182°
➪ x = [tex] \frac{ - 2}{2} [/tex]
➪ x = -1°
Now,
Measure of angle A = x + 41
= (-1°) + 41
= 40°
[tex]\sf\red{Therefore, \:the\: measure\:of \:∠\: A\: is \:40°.}[/tex]
To verify:-
90° + (-1°) + 41 + (-1°) + 51 = 180°
✒ 182°- 2°= 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
