Question

Which of the following triplets cannot be the angles of a triangle?

• A. $67°,51°,62°$
• B. $70°,83°,27°$
• C. $90°,70°,20°$
• D. $40°,132°,18°$

Answer 1

The correct option is D

$40°,132°,18°$

Determine the correct option.

The explanation for the correct option:

The triangle's $3$angles must add up to$180°$. The sum of a triangle's angles could be found by using the following formula:

A sum of a triangle's angles is $180°$.

Option (D): $40°,132°,18°$

$\Rightarrow 40°+132°+18°=190°\therefore 180°\ne 190°$

Therefore,$40°,132°,$ and $18°$can't be the angles of a triangle.

Hence, the correct option is “Option D”.

The explanation for the incorrect options:

Option (A): $67°,51°,62°$

$\Rightarrow 67°+51°+62°=180°\therefore 180°=180°$

Therefore,$67°,51°,$ and $62°$can be the angles of a triangle.

Option (B): $70°,83°,27°$

$\Rightarrow 70°+83°+27°=180°\therefore 180°=180°$

Therefore,$70°,83°,$ and $27°$can be the angles of a triangle.

Option (C): $90°,70°,20°$

$\Rightarrow 90°+70°+20=180°\therefore 180°=180°$

Therefore,$90°,70°,$ and $20°$can be the angles of a triangle.

Hence, “Option A, Option B, and Option C” are the angles of a triangle,

Hence, Option A, Option B, and Option C are incorrect options.

Hence, the correct option is “Option D”.