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1. Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure, the value of k is 9.

   How to find value of k ?

   Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure. They are formed when two lines intersect, and they are always congruent, or equal in measure.

   That if one angle measures 130°, the measure of its vertical angle must also be 130°.

   If the other angle has a measure of (8k + 58)°, and it is a vertical angle to the angle that measures 130°, then it must also have a measure of 130°.

   We can set up the equation 130 = 8k + 58 and solve for k to find the value of k.

   Subtracting 58 from both sides gives us 72 = 8k. Dividing both sides by 8 gives us k = 9.

   Therefore, the value of k is 9.

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