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° =
`(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.}}}}⋆`