196k views
2 votes
I need help on question 8.

I need help on question 8.-example-1
User LoQ
by
5.3k points

1 Answer

5 votes

Answer:

50.18°

Explanation:

∠BAD = ∠BAC +∠CAD

102° = (8x+17)° +(9x+11)° . . . . . substitute given values

102 = 17x +28 . . . . . . . . . . simplify, divide by degrees

x = (102 -28)/17 = 74/17 . . . . . solve for x

Then the angle of interest is ...

∠CAD = (9x +11)° = (9(74/17) +11)° = 50 3/17°

∠CAD ≈ 50.18°

User Hammad Ahmed
by
6.3k points