Answer:
x = 36
y = 48
z = 60
Step-by-step explanation:
let
x/3 = y/4 = z/5 = k
x = 3k, y = 4k, z = 5k
angle ADC = angleDQC + angleDCQ
Exterior angle of a triangle is equal to sum of opposite interior angles.
angleADC = 3k+5k = 8k -i
angleABC = angleBPC + angleBCP
angleABC = 3k+4k = 7k -ii
i + ii = 180° cyclic quadrilateral properties
15k = 180
k = 12
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Answer:
x = 36
y = 48
z = 60
Step-by-step explanation:
let
x/3 = y/4 = z/5 = k
x = 3k, y = 4k, z = 5k
angle ADC = angleDQC + angleDCQ
Exterior angle of a triangle is equal to sum of opposite interior angles.
angleADC = 3k+5k = 8k -i
angleABC = angleBPC + angleBCP
angleABC = 3k+4k = 7k -ii
i + ii = 180° cyclic quadrilateral properties
15k = 180
k = 12