42.4k views
2 votes
What is the value of x?
help would be so appreciated

What is the value of x? help would be so appreciated-example-1

2 Answers

3 votes

Answer:

x = 23

Explanation:

The two angles are supplementary angles.

Supplementary angles sum 180°

(6x+4) + 38 = 180

6x + 42 = 180

6x = 180 - 42

6x = 138

x = 138/6

x = 23

Check:

6*23 + 4 + 38 = 180

138 + 42 = 180

User Stefan Avey
by
4.9k points
5 votes

Answer:

  • x = 23

Explanation:

We know that the sum of angles of a linear pair is always equal to 180°. These angles are also known as supplementary angles.


\bf 6x+4+38^o=180^o (Add numbers)


\bf 6x+42=180 (Simplify)


\bf 6x+42-42=180-42(Subtract both sides by 42)


\bf 6x=138 (Simplify)


\bf \cfrac{6x}{6}=\cfrac{138}{6} (Divide both sides by 6)


\bf x=23

Therefore, x = 23.

_____________________

Hope this helps!

Have a great day!

User Fazlu
by
5.5k points