Question

m∠bcd = m∠cbe because they are alternate interior angles.
m∠cdb = m∠dbf because they are alternate interior angles.
m∠cbe + x° + m∠dbf = 180° because the three angles form a straight
line.
so the value of x must be
answer attempt 1 out of 2
you must answer all questions above in order to submit.

Explanation:

Step1: Substitute the known angles

Given \(m\angle CBE = 39^{\circ}\), \(m\angle DBF=53^{\circ}\), and the equation \(m\angle CBE + x^{\circ}+m\angle DBF = 180^{\circ}\) (since they form a straight - line, and the sum of angles on a straight - line is \(180^{\circ}\)).
Substitute the values: \(39 + x+53=180\).

Step2: Simplify the left - hand side

Combine like terms: \((39 + 53)+x=180\), so \(92+x = 180\).

Step3: Solve for \(x\)

Subtract 92 from both sides of the equation: \(x=180 - 92\).

Answer:

\(88\)