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fgiga [73]
3 years ago
9

Find the missing angles

Mathematics
1 answer:
SashulF [63]3 years ago
6 0

\huge\bold{Given :}

Angle a = 39°

Angle c = 123°

\huge\bold{To\:find :}

The measure of angle b.

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

∠ b = 18°

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

We know that,

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

➪ ∠ a + ∠ b + ∠ c = 180°

➪ 39° + ∠ b + 123° = 180°

➪ ∠ b + 162° = 180°

➪ ∠ b = 180° - 162°

➪ ∠ b = 18°

Therefore, the measure of ∠ b is 18°.

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

∠ a + ∠ b + ∠ c = 180°

✒ 39° + 18° + 123° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\boxed{Hence\:verified.}

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

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