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Supppose the bisector of an angle divides the angle into two angles, each of which is 15 degrees less than the complement of the angle.What is the measure of the angle?

2007-11-10 10:50:52 · 10 answers · asked by Mike m 1 in Science & Mathematics Mathematics

10 answers

let the angle be x.
x/2=90-x-15
3x/2=75
x=75x2/3=50degrees.

2007-11-10 10:55:52 · answer #1 · answered by Anonymous · 1 1

let the angle = A degrees

the compliment of A = 90-A

When A is bisected, each angle = A/2 degrees

so A/2 = (90 - A) - 15

A/2 = 75 - A

multiply with 2

A = 150 - 2A

3A = 150

A = 150/3 = 50 degrees

2007-11-10 10:57:45 · answer #2 · answered by mohanrao d 7 · 1 0

changing my answer since I realized I calculated the complement and not the angle LOL

Let C = complement of the angle

(C-15) = bisected angle
angle = C + 2(C-15)
90= C+ 2(C-15)
90= C + 2C - 30
90= 3C - 30
120= 3 C
40 = C
90-40=50
So the angle would be 50 degrees

2007-11-10 10:59:01 · answer #3 · answered by ImUURU? 3 · 0 2

The coordinates of the vertices of WXYZ are W(-9, 9), X(18, 18), Y(3, 0), and Z(-15, -6) whence midpoint of section WY is {(--9+3)/2, (9+0)/2} is M(--3, 9/2) midpoint of section XZ is {(18--15)/2, (18--6)/2} is N(3/2, 6) as M and N are diverse, WXYZ isn't a parallelogram.

2016-10-02 01:33:12 · answer #4 · answered by dickirson 4 · 0 0

2x+30+x=180
150=3x
x=50

ACK!! I did that wrong.

Should have been 2x-30+x=180 (complementary angles add to 180, making a straight line)
x is the complementary angle
3x=180+30
3x=210
x=70 degrees.
The angle is equal to 2x-30
which is 110 degrees. (answer)
110 plus 70 equals the 180 of the complementary angles.

2007-11-10 10:57:41 · answer #5 · answered by auntiegrav 6 · 1 0

x/2 + 15 = 90 - x
x + 30 = 180 - 2x
3x = 150
x = 50

half of 50 = 25
complement of 50 = 40
40 - 25 = 15

2007-11-10 10:57:10 · answer #6 · answered by norman 7 · 1 1

the angle equals 60

2007-11-10 10:57:22 · answer #7 · answered by laslevin 2 · 0 1

45 degrees

2007-11-10 10:54:13 · answer #8 · answered by snooky106106 2 · 0 2

yep 30.

2007-11-10 10:54:24 · answer #9 · answered by self-appointed queen of bs 5 · 0 2

i think its 15x2=30

2007-11-10 10:55:22 · answer #10 · answered by a-dawg 4 life 2 · 0 2

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