Let's Try 6 2. 1. There is a rectangular playground FEAT which is divided into a triangle and a trapezium as shown in the figure. If EB = EF, find the values of x and y.
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In ∆FEB,
EFEB [Given]
And, ZFEB is right angle.
:. ZEFB = 2FBE = 45° [ ABEF is a right
[ ABEF is a rightangle triangle]
In rectangle ATEF,
ZEFA = 2y + ZEFB = 90° [All angles in a rectangle are right angles]
⇒ Zy+45° = 90°
⇒ y = 45°
Now, Za+ZFBE = 180° [Linear pair]
⇒ Lx + 45° = 180°
⇒ r = 180° - 45°
⇒ x = 135°
Thus, the values of and y are 135° and 45°
respectively.
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