This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
a=72^\circ, b=108^\circ
Step 1: Find the value of angle . Angle is an exterior angle of the triangle. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. The two opposite interior angles are and .
Step 2: Find the value of angle . Angle and angle form a linear pair on a straight line. The sum of angles on a straight line is . Substitute the value of found in Step 1:
The angles are: That's 2 down. 3 left today — send the next one.
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Find the value of angle b. Angle b is an exterior angle of the triangle.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.