Question

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SQRT is a parallelogram. If m∠SQR = 108°, which of the following statements is true?
quadrilateral SQRT has diagonals QT and SR that intersect at point U

m∠SQU = 72°
m∠QRT = 108°
m∠QST = 72°
m∠RQU = 54°

Answer 1

Answer is m<QST = 72

Explanation:

The reason for this is that the total measuer of all the angles is 360. Opposite angles are congruent. If one angle is 108 then another angle is 108 equaling 216. Then 360 (which is the total measure) minue 216 is 144. We need to figure out the other two angles left so you divide this number by 2. Therefore angle QST is 72.

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Answer 2

m∠QST = 72°

Explanation:

Given:

m∠SQR = 108°,

Quadrilateral SQRT has diagonals QT and SR that intersect at point U,

We can tell that:

m∠QST = 72°

Because <R = 36