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Alenkinab [10]
3 years ago
7

A. 37 b. 62 c. 60 d. 39

Mathematics
2 answers:
horsena [70]3 years ago
8 0

Answer:

39 lang po

Step-by-step explanation:

samatolong sana lag Yan nyo po Ng brainlest

Alexus [3.1K]3 years ago
6 0

\huge\bold{Given :}

Angle ABC = 81°

Angle BAC = a°

Angle BCA = 62°

\huge\bold{To\:find :}

The measure of a.

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\longrightarrow{\green{a.\:37°}} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

We know that,

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

➪ ∠ ABC + ∠ BAC + ∠ BCA = 180°

➪ 81° + a° + 62° = 180°

➪ a° + 143° = 180°

➪ a° = 180° - 143°

➪ a° = 37°

Therefore, the measure of a is 37°.

Now, the three angles of the triangle are 81°, 37° and 62°.

\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}

∠ ABC + ∠ BAC + ∠ BCA = 180°

✒ 81° + 37° + 62° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\boxed{Hence\:verified.}

( Note: Kindly refer to the attached file. )

\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}

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