Complete Question: In the diagram below, <DAB and <DAC are adjacent angles. If m<DAC = 25°, what is m<DAB in degrees? What is m<BAC in degrees?
Answer:
m<DAB = 80°
m<BAC = 105°
Explanation:
Generate an equation that will help you find the value of x.
Since m<DAC = 25°, therefore, x - 20 = 25°
Use this equation to find x
x - 20 = 25
Add 20 to both sides of the equation
x - 20 + 20 = 25 + 20
x = 45
m<DAB = 2x - 10
Plug in the value of x
m<DAB = 2(45) - 10 = 90 - 10 = 80°
m<BAC = m<DAC + m<DAB
m<BAC = 25 + 80 = 105°