Question

i need the measurement of angle a

Answer 1

Given:-

Angle B = 90°

Angle C = 67°

To find:-

Angle A.

Solution:-

${\boxed{\mathcal{\red{Angle\: A \:=\: 23° \:}}}}$✅

Step-by-step explanation:-

We know that,

$\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}$

➪ ∠ A + ∠ B + ∠ C = 180°

➪ ∠ A + 90° + 67° = 180°

➪ ∠ A + 157° = 180°

➪ ∠ A = 180° - 157°

➪ ∠ A = 23°

$\sf\red{Therefore, \:the\: value \:of \:∠\: A\: is \:23°.}$

To verify:-

∠ A + ∠ B + ∠ C = 180°

✒ 23° + 90° + 67° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

$\boxed{Hence\:verified.}$

Note:-

Please refer to the attached file.

$\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆$