Respuesta :

7a)

Angles CAD and DAB are supplementary to each other because they lie on a straight line meaning that their sum must equal to 180 degrees.

7b) Angle CAD + Angle DAB = 180 degrees

(x - 62) + (x) = 180

2x - 62 = 180

2x = 242

x = 121 degrees.

7c) Yes, plugging in 121 for x, now we get that:

121 - 62 + 121 = 180

59 + 121 = 180

180 = 180, so our answer of x = 121 is indeed correct.

7d)

DAB is equal to x, and x = 121 degrees, so the measure of angle DAB is 121 degrees.

CAD is equal to x - 62 or 180 - DAB, so we get that CAD is equal to 121 - 62 or 180 - 121 which both equal 59 degrees.