In the diagram below, ZDAB and ZDAC are adjacent
angles.

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?

m<DAB = 80°

m<BAC = 105°

Step-by-step 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°

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47