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All green angles measure b, so all green angles are congruent.

All pink angles are congruent and measure a.

There are 4 pink angles and 4 green angles.

The sum of the measures of the all central angles of a circle is 360 deg.

4a + 4b = 360

We are told that b = 50.

4a + 4(50) = 360

4a + 200 = 360

4a = 160

a = 40

Each pink angles measures 40 deg.

User Prakash Nadar
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