Given:
• ∠A = 25 degrees
,
• ∠C = (5x + 5) degrees.
Let's find the value of x.
In a parallelogram, the opposite angles are congruent.
Angle A and angle C are opposite angles of the parallelogram, thus they are congruent angles.
Thus, we have:
[tex]\begin{gathered} \angle A=\angle C \\ \\ 25=5x+5 \end{gathered}[/tex]
Let's solve for x in the equation,
Subtract 5 from both sides of the equation:
[tex]\begin{gathered} 25-5=5x+5-5 \\ \\ 20=5x \end{gathered}[/tex]
Divide both sides by 5:
[tex]\begin{gathered} \frac{20}{5}=\frac{5x}{5} \\ \\ 4=x \\ \\ x=4 \end{gathered}[/tex]
Therefore, the value of x is 4 .
• ANSWER:
c. 4
