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Novosadov [1.4K]
2 years ago
8

I need the measurement of angle a

Mathematics
1 answer:
a_sh-v [17]2 years ago
7 0
<h2><u>Given</u>:-</h2>

Angle B = 90°

Angle C = 67°

<h2><u>To</u> <u>find</u>:-</h2>

Angle A.

<h2><u>Solution</u>:-</h2>

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

<h2><u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:-</h2>

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°.}

<h2><u>To </u><u>verify</u>:-</h2>

∠ A + ∠ B + ∠ C = 180°

✒ 23° + 90° + 67° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\boxed{Hence\:verified.}

<u>Note</u>:-

Please refer to the attached file.

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

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