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Lines and Angles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsLines and Angles1 Mark
MCQ
How many triangles can be drawn having angles as $45^\circ , 60^\circ $ and $85^\circ ?$
  • A
    Two.
  • B
    Infinitely many.
  • ✓
    None.
  • D
    Only one.
✓

Answer

Correct option: C.
None.
If we add up the three given angles we get
$45^\circ + 60^\circ + 85^\circ = 190^\circ$
But as we know that the angles of any triangle only add-up to $180^\circ .$
Hence the above-given triangle is not possible.

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