### 4 Answers

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- llafferLv 71 month ago
Since angle ABD is 90° and AB is colinear with AC, that means angle CBD is also 90° as the sum must be 180°.

Now we know that BCD is 90° it's split up again into two parts (x - 10)° and (160 - 2x)°. Add them together, set them equal to 90, then sovle for x:

(x - 10) + (160 - 2x) = 90

x - 10 + 160 - 2x = 90

-x + 150 = 90

-x = -60

x = 60 (answer B)

- jacob sLv 71 month ago
(x -10)° + (160 -2x)° = 90°

(150 -x)° = 90°

-x° = 90° - 150 °

-x = -60 °

60 ° = x

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