The measure of angle 1 based on the information given will be 32°.
From the circle, we can see that an angle subtends outside the circle which is 102° while the angle that's inside the circle is given as 38°.
Therefore, the value of angle 1 will then be:
= 1/2(102° - 38°)
= 1/2 × 64°
= 32°
The value of the angle is 32°.
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