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find angle BAC and angle FAB

m∠BAC = 105°

m∠FAB = 75°

Step-by-step explanation:

By using the property of an exterior angle of a triangle,

Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.

From the triangle given in the picture,

m∠ABC + m∠BCA + m∠CAB = 180°

(13x - 3)° = (3x + 2)° + 55°

13x - 3 = 3x + 57

13x - 3x = 57 + 3

10x = 60

x = 6

m∠FAB = (13x - 3)° = 75°

m∠ABC = (3x + 2)° = 20°

Since, ∠BAC and ∠FAB are the linear pair of angles,

m∠BAC + m∠FAB = 180°

m∠BAC + 75° = 180°

m∠BAC = 180° - 75° = 105°

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