Question

1 find m∠dbc. 95 degrees 98 degrees 102 degrees 105 degrees 109 degrees

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So, \(6x + 7=8x - 27\).

Step2: Solve for \(x\)

Subtract \(6x\) from both sides: \(7 = 2x-27\).
Add \(27\) to both sides: \(34 = 2x\).
Divide by \(2\): \(x = 17\).

Step3: Find \(m\angle DBC\)

Substitute \(x = 17\) into \(8x - 27\).
\(8\times17-27=136 - 27=109\).

Answer:

109 degrees