SOLUTION: The rhombus QRST is made of two congruent isosceles triangles. Given m(< QRS) = 34, what is the measure of

SOLUTION: The rhombus QRST is made of two congruent isosceles triangles. Given m(< QRS) = 34, what is the measure of < S?

Question 1066642: The rhombus QRST is made of two congruent isosceles triangles. Given m(< QRS) = 34, what is the measure of < S?
Answer by ikleyn(52834) (Show Source): You can put this solution on YOUR website!
.
180 - 34 degrees.

The consecutive angles of a parallelogram are supplementary.
It means that they sum up to 180 degrees.

Every rhombus is a parallelogram.
Hence, the consecutive angles of a rhombus are supplementary.

The two given angles are two consecutive angles of a rhombus.
Hence, the angles are supplementary.

The answer follows.

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