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QR is parallel to TSZTQR = 105°2QTS = (3x)What is the value of x? A. 15B. 25c. 45D. 75

QR is parallel to TSZTQR = 105°2QTS = (3x)What is the value of x? A. 15B. 25c. 45D-example-1
User Zoker
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1 Answer

16 votes
16 votes

In the diagram shown, lines QR and TS are parallel to each other. Also along the line QR, angles on a straight line equals 180 degrees, therefore the unlabelled angle equals;

Q + TQR = 180

Q + 105 = 180

Subtract 105 from both sides of the equation

Q = 75

Upon close observation, you would see that line QT is a transversal of the two parallel lines, hence angle Q and angle 3x are alternate angles. Alternate angles are equal, therefore

3x = 75

Divide both sides of the equation by 3

x = 25

User Cloud Artisans
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