Question

The ratio beteen the angles of a Quadrilatinal is 7:2:5:6 respectively. What is the sum the smallest angle and half the largest angle of the Quadrilateral? of double



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Answer 1

The correct question is-

The ratio between the angles of a quadrilateral is 7:2:5:6 respectively. What is the sum of double the smallest angle and half the largest angle of the quadrilateral?

Step-by-step explanation:

let the common ratio be x

so angles are 7x, 2x, 5x, 6x

The um of all angles of a quadrilateral is 360

7x+2x+5x+6x=360

20x=360

x=360'/20

x=18

so angles are

7x=18×7=126

2x=2×18=36

5x=5×18=90

6x=6×18=108

Largest ∠=126

Smallest ∠=36

double of smallest angle=36×2=72

and half the largest angle=126/2=63

The sum of double of smallest angle and half the largest angle=72+63=135