In Fig., find out ∠PXR, if PQ || RS.

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Solution

Draw a line parallel to PQ passing through X.

Here,
$∠ PQX = ∠ PXF = 70 ° and ∠ SRX = ∠ RXF = 50 °$ (Alternate interior angles)
∵ PQ || RS || XF
∴ $∠ PXR = ∠ PXF + ∠ FXR = 70 ° + 50 ° = 120 °$

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In Fig., find out ∠PXR, if PQ || RS.

Draw a line parallel to PQ passing through X. Here, ∠PQX=∠PXF=70° and ∠SRX=∠RXF=50° (Alternate interior angles) ∵ PQ || RS || XF ∴ ∠PXR=∠PXF+∠FXR=70°+50°=120°

Draw a line parallel to PQ passing through X.

Here,
$∠ PQX = ∠ PXF = 70 ° and ∠ SRX = ∠ RXF = 50 °$ (Alternate interior angles)
∵ PQ || RS || XF
∴ $∠ PXR = ∠ PXF + ∠ FXR = 70 ° + 50 ° = 120 °$