Answer:
x = 20
Step-by-step explanation:
Key skills needed: Complementary Angles, Equations
1) We are given this diagram and we want to find out x.
The 2 angles (One with the measure "x degrees" and the other with the measure of "3x+10") are complementary. This means that both their measures add up to equal the measure of a right, or 90 degrees.
2) This means we can make the equation --> [tex]x + 3x + 10 = 90[/tex]
To solve:
Combine like terms (3x + x = 4x) --> [tex]4x + 10 = 90[/tex]
To get "x" by itself, subtract 10 from both sides (90 - 10 = 80)
This means it would be --> [tex]4x = 80[/tex]
Divide by 4 from both sides (80 divided by 4 is 20) and get x = 20
Therefore 20 is your answer.
Hope you understood and have a nice day!! :D
