Question

in the figure below, ( mangle dba = 128^circ ).
(a) write an equation to find ( x ). make sure you use an \=\ sign in your answer.
equation: (square)
(b) solve for ( x ).
( x = square )

Explanation:

Part (a)

Step1: Analyze angle sum

The measure of ∠DBA is the sum of ∠ABC (48°) and ∠DBC (5x°). So, the equation is \( 48 + 5x = 128 \).

Part (b)

Step1: Subtract 48 from both sides

Subtract 48 from each side of \( 48 + 5x = 128 \):
\( 5x = 128 - 48 \)
\( 5x = 80 \)

Step2: Divide by 5

Divide both sides by 5:
\( x = \frac{80}{5} \)
\( x = 16 \)

Answer:

s:
(a) Equation: \( 48 + 5x = 128 \)
(b) \( x = 16 \)