3 years ago

I need help on question 8.

Mathematics

1 answer:

melomori [17]3 years ago

3 0

Answer:

50.18°

Step-by-step 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°

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