What is the measure of smallest Angle of a quadrilateral if they are in the ratio of 2:4:5:4
Answers
Smallest Angle of Quadilateral
Answer: measure of smallest angle of quadrilateral = 48°
Explanation:
Given that ratios of angles of a quadrilateral is 2:4:5:4
Need to determine smallest angle of quadrilateral.
As given ratios of angles of quadrilateral is 2:4:5:4 so lets assume four angles of quadrilateral be 2x° , 4x° , 5x° and 4x°.
Here we will be using Angle sum property of a quadrilateral which says that "Sum of the four angles of quadrilateral is 360° "
On applying Angle sum property of a quadrilateral in our case we get
2x° + 4x° + 5x° + 4x° = 360°
=> 15x = 360
=> x = 360/15 = 24
As 2x is the smallest of 2x , 4x , 5x and 4x , so smallest angle of quadrilateral will be 2x = 2 × 24 = 48°
Hence measure of smallest angle of quadrilateral = 48°
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