# Geometry -8th gr

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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.

Thanks

• Geometry -8th gr -

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
x=8

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 -

Okay, I get it now:)...thanks.

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