Question

PQRS and XYZ are straight lines.
PS is parallel to XZ.

Prove that the angle sum of any triangle is 180 degrees . ( 4 marks ).

Answer 1

HEY MATE HERE IS UR ANSWER
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Angle a+ Angle d+ Angle e = 180°
❲sum of angles In a straight line = 180°❳


Since , lines are parellel.

Angle e = Angle c ❲alternate interior angle❳

Angle d = Angle b ❲alternate interior angle❳


Therefore,
In triangle YQR

Finding sum of all angles

Angle a + Angle c+ Angle b =
Angle a+ Angle e+ Angle d ( as c=e and b= d)
i.e. = 180°


HENCE PROVED.