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The Triangles and Its Properties — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSThe Triangles and Its Properties1 Mark
MCQ
Which of the following triplets cannot be the angles of a triangle?
  • A
    $67^\circ , 51^\circ , 62^\circ$
  • B
    $70^\circ , 83^\circ , 27^\circ$
  • C
    $90^\circ , 70^\circ , 20^\circ$
  • ✓
    $40^\circ , 132^\circ , 18^\circ$
✓

Answer

Correct option: D.
$40^\circ , 132^\circ , 18^\circ$
We know that, the sum of the interior angles of a triangle is $180^\circ .$
Now, we will verify the given triplets:
$a. 67^\circ + 51^\circ + 62^\circ = 180^\circ $
$b. 70^\circ + 83^\circ + 27^\circ = 180^\circ $
$c. 90^\circ + 70^\circ + 20^\circ = 180^\circ $
$d. 40^\circ + 132^\circ + 18^\circ = 190^\circ $
Clearly, triplets in option $(d)$ cannot be the angles of a triangle.

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