Question

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

Answer 1

$\huge\bold{Given :}$

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.

$\boxed{Hence\:verified.}$

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