99.9k views
0 votes
Solve for x. what are the measures of the two angles shown? show your work​

Solve for x. what are the measures of the two angles shown? show your work​-example-1
User WiRa
by
3.1k points

1 Answer

11 votes

Answer:

x = 34

Explanation:

This is a straight line so the sum of angles must be 180°

4x + 20 + x - 10 = 180 add like terms

5x + 10 = 180 subtract 10 from both sides

5x = 170 divide both sides by 5

x = 34

To calculate each angle we replace x with the value we found

4x + 20 ➡ 4×34 + 20 = 156

x - 10 ➡ 34 - 10 = 24

User ZKK
by
4.0k points