3.Two parallel lines are cut by a transversal.
a)Find the measures of the angles if a pair of interior angles on the same side of the transversal are represented by (5x-32) degrees and (x + 8) degrees.
b)Find the measures of the angles if a pair of interior angles on the same side of the transversal have measures such that one angle is 4 times the measure of the other.
2006-08-31 17:47:18 · 3 answers · asked by rocketpop19 1 in Education & Reference ➔ Homework Help
It would be nice if I could draw a diagram.
The interior angles on the same side of the transversal always add up to 180 degrees.
so a) and b) turn into:
a) (5x-32) + (x+8) = 180
b) x + 4x = 180
which reduce to
a) 6x = 204 ; x = 34; angles are 138 and 42
b) 5 x = 180 ; x = 36, angles are 36 and 144
2006-08-31 18:03:02 · answer #1 · answered by Computer Guy 7 · 1⤊ 0⤋
a) the sum of the 2 internal angles must be 180 degrees. So:
(5x-32)+(x+8)=180
6x-24=180
6x=204
x=34
So the angles are 138 and 42 degrees.
b) The angles have to add up to 180 and if one is 4 times bigger than the other, you can work it out by dividing 180 by 5 and that will be the smaller angle. So the smaller one is 36, the large one is 144 degrees.
2006-09-01 00:54:51 · answer #2 · answered by ndavos 2 · 1⤊ 0⤋
draw out the lines and (5x-32) is a degree for a angel of the interiour
this is a very easy problem, but very long to do it
2006-09-01 00:58:25 · answer #3 · answered by Erik! i didnt think id use this! 2 · 0⤊ 0⤋