Question

the angles of the quadrilateral.
1. The average of 3 angles of a quadrilateral which are in the ratio of 2:5:4 is 77º. Find all




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Answer 1

Answer:

Let 2x,4x and 5x be the 3 angles of given quadrilateral and m be the fourth angle of the same quadrilateral.

Therefore,

3

2x+4x+5x

=77

⇒11x=231

⇒x=

11

231

=21

Therefore,

2x=2×21=42

4x=4×21=84

5x=5×21=105

The three angles of the quadrilateral are 42,84 and 105.

Therefore,

As we know that sum of internal angles of a quadrilateral is 360.

∴42+84+105+m=360

⇒m=360−231=129

Hence the angles of the given quadrilateral are 42,84,105 and 129.

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Hope it helps

Answer 2

Step-by-step explanation:

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