Answer:
The value of x is 15.
Step-by-step explanation:
Given
PQRS is a parallelogram.
∠Q = (3x + 25)°
∠S = (5x - 5)°
To determine
The value of x = ?
We know that both pairs of opposite angles of a parallelogram are congruent.
As ∠Q and ∠S are opposite angles of a parallelogram. Therefore, ∠Q and ∠S are equal.
Thus,
∠Q = ∠S
substitute ∠Q = (3x + 25)° and ∠S = (5x - 5)° in the equation
(3x + 25)° = (5x - 5)°
subtract 25 from both sides
3x + 25 - 25 = 5x - 5 - 25
3x = 5x - 30
flip the equation
5x - 30 = 3x
add 30 to both sides
5x - 30 + 30 = 3x + 30
5x = 3x + 30
subtract 3x from both sides
5x - 3x = 3x + 30 - 3x
2x = 30
divide both sides by 2
2x/2 = 30/2
x = 15
Therefore, the value of x is 15.
