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vlada-n [284]
3 years ago
7

Solve for X. I really need help with problem. Please

Mathematics
2 answers:
nikdorinn [45]3 years ago
7 0

Step-by-step explanation:

I hope you can understand it

aniked [119]3 years ago
3 0

\huge\bold{Given:}

Angle AOB = x + 4

Angle BOC = 3x + 2

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

\huge\bold{To\:find:}

The value of "x".

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

\longrightarrow{\blue{x\:=\:21°}} 

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

Since it is right-angle,

Sum \: of \: angles \:  =  90°

\longrightarrow{\green{}} x + 4 + 3x + 2 = 90°

\longrightarrow{\green{}} x + 3x + 4 + 2 = 90°

\longrightarrow{\green{}} 4x + 6 = 90°

\longrightarrow{\green{}} 4x = 90° - 6

\longrightarrow{\green{}} 4x = 84°

\longrightarrow{\green{}} x = \frac{84°}{4}

\longrightarrow{\green{}} x = 21°

\sf\blue{Therefore,\:the\:value\:of\:x\:is\:21°.}

Now, the two angles are

∠ AOB = x + 4 = 21° + 4 = 25°

∠ BOC = 3x + 2 = 3 x 21° + 2 = 63° + 2 = 65°

\huge\bold{To\:verify :}

➡ ∠ AOB + ∠ BOC = ∠ AOC

➡ 25° + 65° = 90°

➡ 90° = 90°

➡ L. H . S. = R. H. S

Hence verified. ✔

(<u>Note</u>:- Kindly refer to the attached file.)

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

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