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7) In the following figure,  ADB ≅  CDB. Find the values of x and y. 2

Solution: As  ADB ≅  CDB,

<ADB = <CDB (c.p.c.t)

o
 y + 5 =48

o
o
 y = 48 – 5 = 43
0
similarly ,3x + 5 = 44

o
so, x = 13

8) In the given figure, AC bisects ∠A and ∠C. 3 (2+1)

(i) Is ABC ≅ ADC?

(ii) Is AB = AD ?
Solution:

I) In ABC and ADC
(i) <BAC = <DAC (AC bisects ∠A)
(ii) AC = CA (common)
(iii) <BCA = <ACD (AC bisects ∠C)

So, ABC ≅ ADC (ASA CONGRUENCE CRITERIA)
ii) AB = AD (c.p.c.t)