Answer:
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Explanation:
To find the measures of the other indicated angles, we need to use the properties of parallel lines and transversals.
Given that p || q and q || r, we know that angles mz1 and mz2 are corresponding angles. Corresponding angles are congruent when two parallel lines are intersected by a transversal. Therefore, the measure of mz2 is also 39°.
Now, we can use the fact that the sum of the measures of the interior angles of a triangle is 180°. Since mz1 and mz2 are angles of a triangle, we can subtract their measures from 180° to find the measure of the third angle.
180° - 39° - 39° = 102°.
Therefore, the measure of the third angle is 102°.
In summary, the measures of the other indicated angles are as follows:
- mz1 = 39°
- mz2 = 39°
- Third angle = 102°.