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Friday, August 12, 2022

The ratio between the three angles of a quadrilateral is 1 : 6 : 2 respectively. The value of the fourth angle of the quadrilateral is $45^∘$. What is the difference between the value of the largest and the smallest angles of the quadrilateral?

The ratio between the three angles of a quadrilateral is 1 : 6 : 2 respectively. The value of the fourth angle of the quadrilateral is $45^∘$. What is the difference between the value of the largest and the smallest angles of the quadrilateral?
A$165^∘$
B $140^∘$
C$175^∘$
D$150^∘$

Correct answer is: 175

Explanation:

Sum of the angles of quadrilateral = 360

x+6x+2x+45=360

9x=36045=315

x=3159=35

Therefore, Required difference = 6xx=5x

=5×35175

=175

Nithin
answered Aug 13 '2022 at 12:6

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