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Help me solve this pls? Thank you!

Help me solve this pls? Thank you!-example-1

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Answer:

x = -6

Explanation:

We see that angles SPT and QPT are smaller parts of a larger angle (∠QPS).

The diagonals of rhombi bisect angles, meaning angles SPT and QPT are congruent and thus have the same measure.

Therefore, we can solve for x by setting the measures of the two angles equal to each other:

(50 = -10x - 10) + 10

(60 = -10x) / -10

-6 = x

Thus, x = -6.

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