Question

80°
50°
Зc +2°
C=.

Can i get a step by step or a video on this?

Answer 1

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In the given figure, let the third angle of the triangle be x

From Angle sum property of a triangle, we know that :

• x + 80° + 50° = 180°

• x + 130° = 180°

• x = 180° - 130°

• x = 50°

so, the third angle will be 50°

and as we can observe here, the third angle of the triangle is equal to (3c + 2)° by vertical opposite angle pair.

so,

• 3c + 2° = 50°

• 3c = 50° - 2°

• 3c = 48°

• c = 48° ÷ 3

• c = 16°

hence, value of c = 16°