Respuesta :

Answer:

54°

Step-by-step explanation:

In the given question we would like to solve for x .The two marked angles here are vertically opposite angles . And vertically opposite angles are equal .

So here (2x +2)° and (3x - 52)° are equal. Therefore,

[tex]\longrightarrow 2x + 2^o = 3x - 52^o\\ [/tex]

[tex]\longrightarrow 2x - 3x = -52^o -2^o \\ [/tex]

[tex]\longrightarrow -x = -54^o\\[/tex]

[tex]\longrightarrow \underline{\underline{\boldsymbol{ x = 54^o }}} [/tex]

Hence the value of x is 54°

And we are done!

Answer :

  • 54°

Explanation :

  • When two straight lines intersect each other, then the pairs of angles so formed without any common arm are called vertically opposite angles.

Here,

[tex] \longrightarrow \sf \qquad \: (3x - 52) {}^{ \circ} = (2x + 2) {}^{ \circ} [/tex]

[tex]\longrightarrow \sf \qquad \: 3x - 2x = 2 {}^{ \circ} + {52}^{ \circ} [/tex]

[tex]\longrightarrow \bf \qquad \: x = {54}^{ \circ}[/tex]

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