Question

What is the value of x?
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Answer 1

So there are two angles given in equation I.e :-

• (2x + 2)°
• (3x - 52)°

And we have to find :-

• value of x

Solution:-

↬ 2x + 2 = 3x - 52

Reason:-

VOA (Vertically opposite angles)

How to recognize when angles are in voa aka Vertically opposite angles?

it's really easy by the way. when ever there a multiplication sign ( × ) either parallely or horizontally , then the opposite angles formed by them are always equal.

↬2x = 3x - 52 - 2

↬2x = 3x - 54

↬2x - 3x = - 54

↬ - x = - 54

↬ x = 54°

Now Let's Verify:

⇢ 2x + 2 = 3x - 52

put the value of x in the equation

⇢ 2(54) + 2 = 3(54) - 52

⇢ 2 × 54 + 2 = 3(54) - 52

⇢ 108 + 2 = 3(54) - 52

⇢ 110 = 3(54) - 52

⇢ 110 = 3 × 54 - 52

⇢ 110 = 162 - 52

⇢ 110 = 110

LHS = RHS

Hence verified!

______________________♡~

Required Answer:-

x = 54°

Answer 2

The value of x from the figure is 54

Vertically opposite angles

The given angles are vertical angles showing that they are equal. Hence;

2x + 2 = 3x - 52

Collect the like terms

2x - 3x =  -52-2

-x = -54

x = 54

HEnce the value of x from the figure is 54

Learn more on vertical angles here; https://brainly.com/question/1673457