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Saturday, August 13, 2022

The ratio between the three angles of a quadrilateral is 13 : 9 : 5 respectively. The value of the fourth angle of the quadrilateral is 36∘C. What is the difference between the largest and the second smallest angles of the quadrilateral?

The ratio between the three angles of a quadrilateral is 13 : 9 : 5 respectively. The value of the fourth angle of the quadrilateral is 36∘C. What is the difference between the largest and the second smallest angles of the quadrilateral?
A104°
B 108°
C72°
D 96°

Corect answre is: 96°

Explanation:

Let the three angles of quadrilateral be

13x,9x, and 5x respectively.

Therefore, 13x+9x+5x=36036

27x=324x=32427=12

Therefore, Required difference

=13x5x=8x=8×12 =96

Nithin
answered Aug 14 '2022 at 10:10

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