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In this picture, m∠XOZ = 70° and m∠YOZ = 37°. If m∠XOY = (5x + 16)°, what is the value of x?

In This Picture MXOZ 70 And MYOZ 37 If MXOY 5x 16 What Is The Value Of X class=

Sagot :

Answer:

x = 3.4

Step-by-step explanation:

You have the value of xoz = 70, yoz = 37 and xoy = 5x+16

Set your formula up as

xoz = yoz + xoy

70 = 37 + 5x + 16

70 - 37 - 16 = 5x

17 = 5x

17 / 5 = x

3.4 = x

[tex]\huge\bold{Given :}[/tex]

m∠XOZ = 70°

m∠YOZ = 37°

m∠XOY = ( 5x + 16 )°

[tex]\huge\bold{To\:find :}[/tex]

The value of x°.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]{\boxed{\mathcal{\red{The\:value\:of\: x° \:is\:3.4° .\:}}}}[/tex]✅

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\pink{m∠XOZ\:=\:m∠YOZ\:+\:m∠XOY}[/tex]

➪ 70° = 37° + 5x° + 16°

➪ 5x° + 53° = 70°

➪ 5x° = 70° - 53°

➪ 5x° = 17°

➪ x° = [tex] \frac{17° }{5} [/tex]

➪ x° = 3.4°

[tex]\sf\red{Therefore, \:the\: value \:of \:x°\: is \:3.4°.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

✒ 70° = 37° + 5 x 3.4° + 16°

✒ 70° = 37° + 17° + 16°

✒ 70° = 70°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

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