Question

Three angles of a quadrilateral are in the ratio 9 ratio 7 ratio 3 if the fourth angle is 132 then what will be the third largest angle

Answer 1

Step-by-step explanation:

suppose, the three angles are 9x, 7x, 3x

9x+7x+3x+132=360

19x+132°=360°

19x=360°-132°

19x=228°

x=228°/19

x=12°

9x=9×12=108°

7x=7×12=84°

3x=3×12=36°

so, the third largest angle is 84°

Answer 2

Answer:

The third largest angle = 84

Step-by-step explanation:

Given,

The three angles of a quadrilateral are in the ratio 9:7:3

The fourth angle of the quadrilateral = 132

To find,

The third largest angle

Solution:

Recall the concept:

Quadrilaterals are four-sided polygons and in a quadrilateral, the total sum of four angles are 360degrees

Since the three angles of a quadrilateral are in the ratio 9:7:3, then we can take three angles 9x, 7x and 3x

Hence the four angles of the quadrilateral are 9x, 7x, 3x and 132

Since the sum of four angles of a quadrilateral = 360. we have,

9x+7x+3x+132 = 360

19x + 132 = 360

19x = 360 -132

= 228

x = $\frac{228}{19}$

= 12

x = 12

Hence the four angles of the quadrilateral are

9×12, 7×12, 3×12 and 132

= 108,84, 36 and 132

The four angles of the quadrilateral are 132, 108, 84 and 36

The third largest angle = 84

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