in the figure if L // m // n; if x : y = 5:4 , then the measure of angle z is
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z = 80
Step-by-step explanation:
x + y = 180 [Linear Angles on opposite sides of transversal]
It's given that x:y is 5:4,
taking a constant 'k' for the ratio...
5k + 4k = 180
9k = 180
k = 20
Therefore x and y are 100 and 80 respectively.
z + x = 180 [Consecutive Interior Angles are supplementary]
z + 100 = 80
z = 80
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