Posted by Mona on Friday, February 1, 2013 at 12:11pm.
Given: triangle ABC ~ triangle PQR, m<A = 75 degrees, m<P = (5x + 7y) degrees, m<R = (3x + 4y) degrees, and m<B =( 2x + 9y) degrees. FInd m<R.
Geometry -8th gr - Reiny, Friday, February 1, 2013 at 2:02pm
very similar to the one I did for you yesterday.
draw the two triangles and fill in the information.
5x + 7y = 75 ---- equation #1
In triangle AC
angle C = 180 - 75 - 2x - 9y
= 105 - 2x - 9y
3x+4y = 105 - 2x - 9y
5x + 13y = 105 --- #2
subtract #2 - #1
6y = 30
y = 5
back into #1
5x + 35 = 75
5x = 40
so if x=8 and y=5
angle R = 3x+4y = 24+20 = 44°
check: 5x + 7y should be 75
5(8) + 7(5) = 75 , yeahhh
Geometry -8th gr - Mona, Friday, February 1, 2013 at 5:24pm
Okay, I get it now:)...thanks.
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