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In the diagram below, \(a = 3b\) Find angle \(a\) in degrees.

 

https://latex.artofproblemsolving.com/e/d/c/edcb38997ad78e75d0da535c9081455a8a24f3de.png 

 Jan 22, 2023
 #1
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a ==3b.......................(1)
Angle b ==180 - a.......(2)
Substitute a from (1) into (2) above:
b ==180 - 3b
Add 3b to both sides
b + 3b ==180 - 3b + 3b
The right-hand side: -3b + 3b ==0
b + 3b ==180
4b ==180 
b ==180 / 4
b ==45 degrees
a ==3b
a ==3 x 45 ==135 degrees.

 Jan 22, 2023
 #2
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Thank you so and very much for your timely and correct response. :)

Guest Jan 22, 2023

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