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Answer:
Step-by-step explanation:
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Answer:-
x=36° and y=48° and z=96°
Step-by-step explanation:-
Given: x:y=3:4 and y:z=1:2
To find: Measure of ∠DCB
Solution:x:y=3:4 [GIVEN]
Which means, x = 3
y 4
Now cross multiplying,we get,
4x=3y
4x =y ----(1 st equation)
3
Now we put value of y in y:z=1:2,
y:z=1:2
Which means, y = 1
z 2
Now cross multiplication,
2y=z
Now we put value of y from 1st equation,
2× 4x =z
3
∴z= 8x ----(2nd equation)
3
Now,x+y+z=180° [Angle sum property]
Putting values of y and z from equation 1 and 2
x+ 4x + 8x =180°
3 3
3x + 4x + 8x =180°
3
15x =180°
3
15x=540°
∴x=540°/15 =36°
Hence,x=36°
y=4x/3=4×36/3=48°
z=8x/3=8×36/3=96°
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