The measure of the smallest angle in the quadrilateral is 30 degrees.
Important information:
- Ratio of interior angles of a quadrilateral = 1:3:4:4
Quadrilateral:
Let the measures of interior angles of a quadrilateral are x, 3x, 4x and 4x respectively.
The sum of all interior angles of a quadrilateral is 360 degrees.
[tex]x+3x+4x+4x=360^\circ[/tex]
[tex]12x=360^\circ[/tex]
[tex]x=\dfrac{360^\circ}{12}[/tex]
[tex]x=30^\circ[/tex]
Using the value of [tex]x[/tex], the values of x, 3x, 4x and 4x are [tex]30^\circ,90^\circ,120^\circ [/tex] and [tex]120^\circ [/tex] respectively.
The measure of the smallest angle in the quadrilateral is 30 degrees.
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