Parallelogram JKLM has angle measures J(2 x +9) and M(6 x -1) determine the measure of angle k

For the shape to be a quadrilateral, then the measure of angle k must 128 degrees

For quadrilateral PQRS to be an actual quadrilateral, then:

implies that:

Collect like terms

Divide both sides by 8

We have:

This becomes

Substitute 21.5 for x

Subtract 1 from 129

Hence, the measure of angle K must be 128 degrees

Read more about quadrilaterals at:

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Step-by-step explanation:

The sum of opposite angle and sides of a parallelogram is 180 . If a parallelogram JKLM has angle measures J(2 x +9) and M(6 x -1), then <J + < M = 180

Substitute:

2 x +9+6x-1 = 180

collect like terms;

2x+6x+9-1 = 180

8x+8 = 180

8x = 180-8

8x = 172

x = 172/8

x = 21.8°

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step-by-step explanation:

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