Question

Find the missing angel

Answer 1

`\huge\bold{Given:}`

Angle BOC = 65°

Angle AOC =90° ( ∵ it is right angle )

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

The measure of angle AOB
.

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

`\longrightarrow{\blue{x°\:=\:25°}}`

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

Since it is right-angle,

`Sum \: of \: angles \: = 90°`

`\longrightarrow{\green{}}`
`x°` + 65° = 90°

`\longrightarrow{\green{}}`
`x°` = 90° - 65°

`\longrightarrow{\green{}}`
`x°` = 25°

`\sf\blue{Therefore,\:the\:measure\:of\:x°\:is\:25°.}`

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

➡ ∠ AOB + ∠ BOC = ∠ AOC

➡ 25° + 65° = 90°

➡ 90° = 90°

➡ L. H. S. = R. H. S

Hence verified. ✔

`\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}`