Question

the measure of angle abc is 135°. the measure of angle abd is 100°. the measure of angle dbc is x°. find the value of x.

Explanation:

Step1: Use angle addition formula

\(\angle ABC=\angle ABD+\angle DBC\)

Step2: Substitute known values

\(135 = 100 + x\)

Step3: Solve for \(x\)

\(x=135 - 100\)
\(x = 35\)

Answer:

\(x = 35\)