Properties of Geometrical Figures, SM-Bank 004 MC

A triangle is divided into 2 parts by a straight line.

The angles are then labelled.

Which statement is true about the sum of angles?

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`C`

Show Worked Solution

`text(Consider each option:)`

`text(Option A:)\ \ b + c + d != 180\ \ => \ b+c = 180^@`

`text(Option B:)\ \ c + d + e != 360^@\ \ => \ c + d + e = 180^@\ \ text{(angle sum of triangle)}`

`text(Option C:)\ \ a + b + f + g = 360^@`

`=>\ text(Correct since the angle sum of a quadrilateral = 360°)`

`text(Option D:)\ \ d + e + f + g != 180\ \ => \ e + f = 180^@`

`=> C`