The ratio of the measures of the consecutive angles of a quadrilateral is
1:2:3 : 4. What type of quadrilateral is it?
Answers
Answered by
2
Answer:
i think it is nt equateral i
Step-by-step explanation:
because it have not equal side
Answered by
6
Answer:
hey!!
Step-by-step explanation:
Question
The ratio of the measures of the consecutive angles of a quadrilateral is
1:2:3 : 4. What type of quadrilateral is it?
let them be 1x ,2x ,3x and 4x
we know that sum of angles of a quadrilateral is 360°
∴ 1x +2x+3x+4x = 360°
10x = 360
x = 36
1x = 36°
2x = 72°
3x=108°
4x = 144°
when we add the angles,
36°+144°=180°
and
72°+108°=180°
since sum of the interior angles is 180°, the opposite sides containing the angles are parellel
since one pair of opposite sides are parallel, where the opposite angles are not equal , the quadrilateral is a trapezium
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