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Rectangle QRST is shown. Angle QRT is congruent to angle STR, and angle STR is complementary to angle QTR. A rectangle has corner points Q, T, S, R from top left going clockwise. A line cuts through the rectangle from R to T. Which statement is true about angles QRT and QTR? They are congruent. They are complementary. They are supplementary. They are right angles.

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junkyarddogg

Answer:

They are complementary.

Step-by-step explanation:

I made a small visual (mainly so I could visualize it but I figured it might help you too).

Since QRT is congruent to STR, QTR and SRT are also congruent.

Therefore, since STR is complementary to QTR, and STR is congruent to QRT, QTR must be complementary to QRT due to the transitive property.

Ver imagen junkyarddogg
raphealnwobi

The angles QRT and QTR are complementary (sum up to 90°)

What is an angle?

An angle is formed from the intersection of two lines. Types of angles are acute, obtuse and right angled.

In triangle QRT:

∠QRT + ∠QTR + ∠TQR = 180° (angle in a triangle)

90 + ∠QRT + ∠QTR = 180

∠QRT + ∠QTR = 90°

The angles QRT and QTR are complementary (sum up to 90°)

Find out more on angle at: https://brainly.com/question/25770607

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