The angles of a quadrilateral given as in the ration 1:2:3:4 Find all the angles
Answers
Answer:
Let the measure of angles be x,2x,3x and 4x.
We know that sum of measure of all four angles is 360
o
.
∴ x+2x+3x+4x=360
o
⇒ 10x=360
o
⇒ x=36
o
⇒ 2x=2×36
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=72
o
⇒ 3x=3×36
o
=108
o
⇒ 4x=4×36
o
=144
o
⇒ The measures of angles of quadrilateral are 36
o
,72
o
,108
o
and 144
o
.
⇒ We can see measure of all 4 angles are different so, the given quadrilateral is trapezium.
Step-by-step explanation:
Answer :
x = 36°
2x = 2 × 36° = 72°
3x = 3 × 36° = 108°
4x = 4 × 36° = 144°
Step-by-step explanation:
Given :
First angle of quadrilateral 1 be = x
Second angle of quadrilateral 2 be = 2x
Third angle of quadrilateral 3 be = 3x
Fourth angle of quadrilateral 4 be = 4x
Solve :
→ x + 2x + 3x + 4x = 360°
→ 10x = 360°
→ x = 360°/10
→ x = 36°
∴ Thus, the required angles be : 36°, 72°, 108° and 144°
More Information :
- Sum of all angles = 360°
- A quadrilateral is the polygon that has exactly four sides.