Question

1.
B
Diagram NOT
uccurately drawn
F
479
G
ABC and DEF are parallel lines.
BEG is a straight line.
Angle GEF= 470,
Work out the size of the angle marked x.
Give reasons for your answer.​

Answer 1

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Given:-

• ABC and DEF are parallel lines.
• BEG is a straight line.
• Angle GEF= 470.

To find:-

• Angle x

Proof:-

From the figure,

<EFG+ <FEB =180°(Linear Pair)

47°+ <FEB = 180°

<FEB=180°-47°

<FEB = 133°

Angle x=133°(Since,<FEB and <ABE are alternate angles )