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Rufina [12.5K]
2 years ago
9

Hey!! Can anyone PLZ help the picture is down below .Thank you!!

History
1 answer:
yKpoI14uk [10]2 years ago
8 0

\huge\bold{Given :}

Angle CBA = 60°

Angle BAC = 40°

Angle BCA = x

\huge\bold{To\:find :}

The measure of angle x.

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

\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\:80°}}}}}}

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

We know that,

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

➪ ∠ CBA + ∠ BAC + ∠ BCA = 180°

➪ 60° + 40° + x = 180°

➪ 100° + x = 180°

➪ x = 180° - 100°

➪ x = 80°

Therefore, the measure of angle x is 80°.

Now, the three angles of the triangle are 60°, 40° and 80° respectively.

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

∠ CBA + ∠ BAC + ∠ BCA = 180°

✒ 60° + 40° + 80° = 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{ヅ}}}}}

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