Answer:
14. The equation to determine the value of x is 12x + 6 = 90
15. The value of x is 7
Explanation:
* Lets explain how to solve the problem
- In the figure there are two angles
# Angle of measure (7x + 6)°
# Angle of measure (5x)°
- The sum of the measures of the two angles is 90°
14.
* Lets to write an equation to represent these information
∵ The measure of an angle is (7x + 6)°
∵ The measure of another angle is (5x)°
∵ The sum of the measures of the two angles is 90°
- The sum means the addition of the two angles
∴ (7x + 6) + (5x) = 90
- Lets simplify it by adding the like terms in the left hand side
∴ (7x + 5x) + 6 = 90
∴ 12x + 6 = 90
* The equation to determine the value of x is 12x + 6 = 90
15.
* Lets solve the equation to find the value of x
∵ 12x + 6 = 90
- Subtract 6 from both sides
∴ 12x = 84
- Divide both sides by 12
∴ x = 7
* The value of x is 7