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Please answer fast. Give me correct answer. |
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Answer» Answer: Step-by-step explanation: HI BUDDY HERE IS YOUR ANSWER WITH FULL EXPLANATION. I HOPE YOU WILL LIKE MY ANSWER. SO, PLEASE MARK ME AS BRAINLIEST IF YOU LIKED MY ANSWER:-) 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° THANK YOU HAVE A NICE DAY |
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