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Lines and Angles
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10/07/2021 11:54 am
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In Figure, if PQ ST, PQR = 110° and RST = 130°, find QRS.
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10/07/2021 11:56 am
First, construct a line XY parallel to PQ.
We know that the angles on the same side of transversal is equal to 180°.
PQR + QRX = 180°
QRX = 180°-110°
∴ QRX = 70°
Similarly,
RST + SRY = 180°
SRY = 180°- 130°
∴ SRY = 50°
Now, for the linear pairs on the line XY
QRX + QRS + SRY = 180°
Putting their respective values, we get,
QRS = 180° – 70° – 50°
Hence, QRS = 60°