The four angles of all quadrilateral are in the ratio 1:2:3:4. Find the measure of each angle
Answers
solution
solutionLet the angles of quadrilateral be
solutionLet the angles of quadrilateral bex, 2x, 3x , 4x
solutionLet the angles of quadrilateral bex, 2x, 3x , 4xsum of all angles of quadrilateral = 360°
solutionLet the angles of quadrilateral bex, 2x, 3x , 4xsum of all angles of quadrilateral = 360°x + 2x + 3x + 4x = 360°
solutionLet the angles of quadrilateral bex, 2x, 3x , 4xsum of all angles of quadrilateral = 360°x + 2x + 3x + 4x = 360°10x = 360°
solutionLet the angles of quadrilateral bex, 2x, 3x , 4xsum of all angles of quadrilateral = 360°x + 2x + 3x + 4x = 360°10x = 360°x = 360/10 = 36°
solutionLet the angles of quadrilateral bex, 2x, 3x , 4xsum of all angles of quadrilateral = 360°x + 2x + 3x + 4x = 360°10x = 360°x = 360/10 = 36°Ans. the four angles are :-
solutionLet the angles of quadrilateral bex, 2x, 3x , 4xsum of all angles of quadrilateral = 360°x + 2x + 3x + 4x = 360°10x = 360°x = 360/10 = 36°Ans. the four angles are :-x = 36°
solutionLet the angles of quadrilateral bex, 2x, 3x , 4xsum of all angles of quadrilateral = 360°x + 2x + 3x + 4x = 360°10x = 360°x = 360/10 = 36°Ans. the four angles are :-x = 36°2x = 2 × 36 = 72°
solutionLet the angles of quadrilateral bex, 2x, 3x , 4xsum of all angles of quadrilateral = 360°x + 2x + 3x + 4x = 360°10x = 360°x = 360/10 = 36°Ans. the four angles are :-x = 36°2x = 2 × 36 = 72°3x = 3 × 36 = 108°
solutionLet the angles of quadrilateral bex, 2x, 3x , 4xsum of all angles of quadrilateral = 360°x + 2x + 3x + 4x = 360°10x = 360°x = 360/10 = 36°Ans. the four angles are :-x = 36°2x = 2 × 36 = 72°3x = 3 × 36 = 108°4x = 4 × 36 = 144°
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Answer:
let the angles be y
Step-by-step explanation:
Then
1y +2y+3y+4y=360
10y=360
y=36
first angle =1*36=36
second angle=2*36=72
third angle=3*36=108
fourth angle=4*36=144
144+108+72+36=360