Question

The rhombus QRST is made of two congruent isosceles triangles. Given m∠QTS = 64, what is the measure of ∠Q?

Answer 1

The measure of Q is 116

Explanation:

For a Rhombus, opposite angles are equal

so angle R is 64 too

Now, we should understand that the diagonals bisect the angles

So the angles in the triangle QTR are

Q + 32 + 32 = 180

Q = 180-64

Q = 116 degrees