SOLUTION: https://ibb.co/svHJWRS Solve for a

Question 1201995: https://ibb.co/svHJWRS
Solve for a
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

In the triangle with the 23 degree angle, the second angle measure is 2x, so the measure of the third angle is 180 - (2x+23) = 157-2x.

The exterior angle at that third vertex, with measure 2o, is 23+2x, so o is x+11.5.

Then in the triangle with a as one angle, the measures of the other two angles are x and (157-2x)+(x+11.5).

(x) + (157-2x) + (x+11.5) = 168.5, so a is 180-168.5 = 11.5

ANSWER: 11.5 degrees

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