Question

Solve for X

Please and thanks

Answer 1

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;

`\angle ABD+\angle DBC=90^(\circ)`

Substituting the values, we have;

`4x+15+13x+7=90`

`17x+22=90`

`17x=68`

`x=4`

Thus, the value of x is 4.