Question

Find the value of Yin the following figure.
6901
SHO​

Answer 1

ANSWER

Side BC of △ABC has been produced to D.

Exterior ∠ACD=∠ABC+∠BAC

∴100o=65o+xo

⇒xo=(100o−65o)=35o

∴∠CAD=∠BAC=35o

In △ACD, we have:

∠CAD+∠ACD+∠CDA=180o       (Angle sum property of triangle)

⇒35o+100o+yo=180o

⇒135o+yo=180o

⇒yo=(180o−135o)=45o

Hence, x=35o,y=45o.

Answer 2

Answer:

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