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

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


   

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) About Me  (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.