Question

Find the value of x in the figure.

Answer 1

x=28

Explanation:

Answer 2

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

✎ The value of
`x`.

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

`\sf\purple{The\:value\:of\:x\:is\:28°. }`

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

Since it is right-angle,

`Sum \: of \: angles \: = 90° \\ ⇢ (2x + 1) + 33 ° = 90° \\ ⇢2x + 34° = 90° \\ ⇢2x = 90° - 34° \\⇢ 2x = 56° \\⇢ x = (56° )/(2) \\ ⇢x = 28°`

`\sf\blue{Therefore,\:the\:value\:of\:x\:is\:28°.}`

`\huge\bold{To\:verify :}`

`(2x + 1) + 33° = 90° \\ ➡ \: 2 * 28° + 1 + 33° = 90° \\ ➡ \: 56° + 34° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S`

Hence verified.

`\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘`