Given:
The measure of ∠ABD is (4x + 15)°
The measure of ∠DBC is (13x + 7)°
We need to determine the value of x.
Value of x:
Since, we know the property that every angle in a rectangle is 90°
Hence, the value of x can be determined by adding the two angles and equating to 90°
Thus, we have;
[tex]\angle ABD+\angle DBC=90^{\circ}[/tex]
Substituting the values, we have;
[tex]4x+15+13x+7=90[/tex]
[tex]17x+22=90[/tex]
[tex]17x=68[/tex]
[tex]x=4[/tex]
Thus, the value of x is 4.
