Question

Using the digits 0 to 9, without repetition, fill the blanks.

*Make sure all angle pair relationships, linear pairs, and the interior angles of
the triangle (sum=180) are satisfied.

Answer 1

Based on the angle pair relationships and the triangle sum theorem, the empty blanks will be filled with the digits as shown in the attached diagram.

Triangle Sum Theorem

• The sum of the interior angles of any triangle will always give us 180 degrees.
• The sum of two interior angles in a triangle equals the external angle that is directly opposite the interior angles.
• Linear pairs equals 180 degrees.

Thus, based on the angle pair relationships and the triangle sum theorem, the empty blanks will be filled with the digits as shown in the attached diagram.

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