RRB Group-D Model Paper 13 with answers for online practice

Question : 66 of 100

Marks: +1, -0

If the interior angles of a six sided polygon are in the ratio of 2 : 3 : 3 : 5 : 5 : 6, then the measure of the smallest angle is

$20°$
$30°$
$60°$
$90°$

Validate

Solution:

Formula used:
Sum of interior angles of hexagon = (n – 2) × 180
Where n is the number of sides of the polygon
Calculation:
Let the interior angles of the hexagon be 2a, 3a, 3a, 5a, 5a, 6a.
Sum of interior angles of hexagon = (6 – 2) × 180
⇒ 2a + 3a + 3a + 5a + 5a + 6a ⇒ 24a = 4 × 180 ⇒ a =

30^o

∴ Smallest angle = 2a = 2 × 30 =

60^o

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