Question

Please no link! need question answered as soon as possible

Answer 1

$\huge\bold{Given :}$

Angle 1 = 40°

Angle 2 = x°

Angle 3 = ( x + 28 )°

$\huge\bold{To\:find :}$

The value of x.

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

${\boxed{\mathcal{\purple{The\:value\:of\: x \:is\:56 ° .\:}}}}$✅

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

We know that,

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

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 40 + x° + x° + 28° = 180°

➪ 2x° + 68° = 180°

➪ 2x° = 180° - 68°

➪ x° = $\frac{112° }{2}$

➪ x° = 56°

$\sf\red{Therefore, \:the\: value \:of \:x\: is \:56°.}$

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

∠ 1 + ∠ 2 + ∠ 3 = 180°

✒ 40° + 56° + 56° + 28° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

$\boxed{Hence\:verified.}$

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