Question

Ratio of the angles of a quadrilateral is 3:5:7:9. Determine the measure
each angle.
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Answer 1

Step-by-step explanation:

45,75,105,135.

please mark the brainliest.

Answer 2

Answer:

Ratio of the angles of a quadrilateral = 3:5:7:9

Let, the angles be = 3a, 5a, 7a, 9a

Sum of the angles of a quadrilateral = 360 degree

So,

3a + 5a + 7a + 9a = 360

=> 24a = 360

=> a = 360/24

=> a = 15

Measure of the angles = 3 × 15 = 45 degree

= 5 × 15 = 75 degree

= 7 × 15 = 105 degree

= 9 × 15 = 135 degree

Ans. 45 degree, 75 degree, 105 degree, 135 degree.

Hope it helps.