Question

Uhh word words word solve equation words-

Answer 1

• 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,

`\longrightarrow \sf \qquad \: (3x - 52) {}^( \circ) = (2x + 2) {}^( \circ)`

`\longrightarrow \sf \qquad \: 3x - 2x = 2 {}^( \circ) + {52}^( \circ)`

`\longrightarrow \bf \qquad \: x = {54}^( \circ)`

Answer 2

54°

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,

`\longrightarrow 2x + 2^o = 3x - 52^o\\`

`\longrightarrow 2x - 3x = -52^o -2^o \\`

`\longrightarrow -x = -54^o\\`

`\longrightarrow \underline{\underline{\boldsymbol{ x = 54^o }}}`

Hence the value of x is 54°

And we are done!