Question

17. In the given figure AB || DC and ZBDA = 72°. If 8 z, find the measures of ZBCD, B С 4 3 у Z X = х 3 y, y 72° ZABC and ZBAD.

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Answer 1

Answer:

《ANSWER》

∵AB=AC⇒∠ABC=∠ACB=x(say)

Let ∠BAC=y

We know,

Exterior angles = sun of interior opposite angles

or, 120o=∠ABC+∠BAC

or, 120o=x+y−−−(1)

Again, ∠ACB+∠ACD=180o

or, x+120o=180o

∴ x=60o  

From (1),

60o+y=120o⇒y=60o∴∠A=60o

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