Question

please do questions 27 , 25 , '27 and 28

Answer 1

28. all the three angles measure 130°

Answer 2

Hello friend

Here goes your answer

27. Consider the triangle ABC

We know that
• Exterior angle=sum of interior opp angles
• Sum of all angles in a triangle is 180°

So angle A + angle B +angle C =180°

Angle 1+2+3=180°

Angle ACD = angle A + angle B = angle 3 + angle 1

Angle ABE = angle A + angle C = angle 3+ angle 2

Angles ACD and ABE are exterior angles

So sum of exterior angles will be Angle ACD + angle ABE

=angle 1+ angle 3+ angle 2+ angle 3

We know that Angle 1+2+3=180°

=180°+ angle 3

Hence it is proved that sum of exterior angles is more than 180°

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28. Angle 4+ 50° =180° as they form a linear pair

So angle 4=180-50=130°

Angle 4 = angle 1 as they are corresponding angles

Angle 1 = angle 2 as they are corresponding angles

Angle 2 = angle 3 as they are vertically opposite angles

So angle 1=angle 2=angle 3=130°

Hope it helps!!