In the given figure triangle ABC, BC and FC are b

Question

In the given figure triangle ABC, BC and FC are bisectors of angle ABC and angle ACD respectively. If angle BAC = 70° and EF=EC, then find the the measure of angle FEC.

Aditya Gupta · Accepted Answer

let angle FBC= angle ABF= x and angle ACF= angle FCD= ywe apply exterior angle property on triangle ABC to get70 + 2x= 2yor y – x= 35let angle BFC= p. now we again apply exterior angle property on triangle FBC to getp+x= yor p= y – x= 35now since triangle FEC is isoceles, so angle ECF will also be p.by angle sum propertyb we can writeangle FEC + p + p= 180or angle FEC= 180 – 2p= 180 – 2*35= 110kindly approve :)

9 grade maths> In the given figure triangle ABC, BC and ...

In the given figure triangle ABC, BC and FC are bisectors of angle ABC and angle ACD respectively. If angle BAC = 70° and EF=EC, then find the the measure of angle FEC.

sahitya , 6 Years ago

Aditya Gupta

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9 grade maths> In the given figure triangle ABC, BC and ...

In the given figure triangle ABC, BC and FC are bisectors of angle ABC and angle ACD respectively. If angle BAC = 70° and EF=EC, then find the the measure of angle FEC.

sahitya , 6 Years ago

Aditya Gupta

LIVE ONLINE CLASSES

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