Given:
An angle whose supplement is 10 degrees more than twice its complement.
Required:
To write and solve the equation.
Step-by-step explanation:
Let the angle be x degrees.
Supplement of this angle = 180 - x
Complement of this angle = 90 -x
Given that supplement is 10 degrees more than twice its complement.
So the equation becomes:
180- x =2(90 - x) + 10
Solve by multiplication.
180 - x = 180 - 2x +10
Solve by collectiong the like terms.
2x - x = 180 - 180 + 10
x = 10 degrees
Final Answer:
The value of the angle is 10 degrees.