Question

4. The angles of a quadrilateral are in the ratio 1:3:5:6. Find the measure of the smallest angle

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Answer 1

Answer:

smallest angle =24°

Step-by-step explanation:

measures of all angle of a quadrilateral is 360°

• let measure of angle in ratio is x
• 1x + 3x + 5x + 6x = 360
• 15x = 360
• so, x = 360/15

x= 24

• measure of all angles as respectively : 24 , 72, 120 , 144

Smallest angle is = 24°

Answer 2

Answer:

let the angles be 1x, 3x, 5x, 6x

therefore, 1x + 3x+ 5x + 6x = 360(sum of angles of quadrilateral)

15x = 360°

X= 360°/ 15

X=24°

now, 1x= 1×24 =24°

3x= 3× 24=72°

5x= 5× 24=120°

6x= 6× 24=144°

Step-by-step explanation:

the measure of the smallest angle is 24°