Find the measures of two complementary angles satisfing th egiven conditions
2007-02-01 16:09:38 · 2 answers · asked by amaneetj 2 in Science & Mathematics ➔ Mathematics
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The measure of one angle is 8 times the measure of the other.
For this one find the mesaures of the two supplementary angles satisfying the given conditions.
Thanx
2007-02-01 16:11:30 · update #1
The measure of one angle is 8 degree less than the measure of the other.?
Find the measures of two complementary angles satisfing the given conditions
let the angles be x & y. we are given that
x+y=90° &
x-y=8° add
2x=98° divide both sides by 2
x=49°
x+y=90° substitute 49° for x
49°+y=90° subtract 49° from each side
y=41°
the angles are 49° & 41°
The measure of one angle is 8 times the measure of the other.
For this one find the mesaures of the two supplementary angles satisfying the given conditions.
Thanx
x=8y
x+y=180° substitute 8y for x
8y+y=180°
9y=180° divide both sides by 9
y=20°
x=8y substitute 20° for y
x=8*20°=160°
the angles are 20° & 160°
2007-02-01 16:17:27 · answer #1 · answered by yupchagee 7 · 15⤊ 0⤋
A - B = 8
A + B = 90
2A = 98
A = 49
B = 41
The measure of one angle is 8 times the measure of the other.
For this one find the mesaures of the two supplementary angles satisfying the given conditions.
A = 8B
A + B = 180
9B = 180
B = 20
A = 160
2007-02-02 00:22:27 · answer #2 · answered by Helmut 7 · 0⤊ 0⤋