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ABC is a triangle and the sides AB, BC a...

ABC is a triangle and the sides AB, BC and CA are produced to E, F and G respectively. If `/_CBE = /_ACF = 130^@` then the value of `/_GAB` is

A

`100^@`

B

`80^@`

C

`130^@`

D

`90^@`

Text Solution

Verified by Experts

The correct Answer is:
A

`angle ACB = 180^@ - 130^@ = 50^@`
`angle CBA = 180^@ - 130^@ = 50^@`
`angle A = 180^@ - (50^@ - 50^@)`
` =80^@`
` therefore GAB = 180^@ - 80^@`
`=100^@`
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