Q:

What is the value of x? Enter your answer in the box.

Accepted Solution

A:
So there are two angles given in equation I.e :-(2x + 2)° (3x - 52)°And we have to find :-value of xSolution:-↬ 2x + 2 = 3x - 52Reason:-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 - 52put 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 = 110LHS = RHSHence verified!______________________♡~Required Answer:-x = 54°