Question

Two lines are intersecting. What is the value of x? Enter your answer in the box.
(x + 23)
(2x + 4)°


Help! Please!!!

Answer 1

Answer:

x=51

Step-by-step explanation:

I have to do the Person Realize End-of-the-Year test too. It sucks... Anyway... You already have the answer ;)

Answer 2

The value of x is 51°.

Supplementary angles are the angles whose sum is 180° and together form a straight line.

Here given two lines are intersecting each other at one point.

Let the line is AB and CD and the intersecting point be O.

given that ∠AOC = x+23°

∠AOD= 2x+4°

As angles ∠AOC and ∠AOD are adjacent and together form the straight line CD.

So, ∠AOC and ∠AOD are supplementary angles.

∠AOC + ∠AOD= 180°

putting the values of ∠AOC and ∠AOD in the above equation

⇒ x+23° + 2x+4°= 180°

⇒ 3x+27°= 180°

Separating constant term and variable term on both sides

⇒ 3x= 180°-27°

⇒ 3x= 153°

dividing the coefficient of the variable on both sides to make the coefficient of variable 1

⇒x= 153°/3

⇒ x=51°

Therefore the value of x is 51°.

Learn more about supplementary angles

here: https://brainly.com/question/12919120

#SPJ10