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fomenos
3 years ago
13

Ayooo i need helppppp

Mathematics
2 answers:
NeX [460]3 years ago
7 0

Answer:

angle 7=100 ,angle 8=80

Step-by-step explanation:

For angle 7:

By using definition of alternate interior angles:

angle 4=angle 6

Subtitute values of angles:

x+2y=3y+20

x+2y-3y=20

x-y=20.......(1)

Now by using definition of alternate opposite angles:

angle 4= angle 2

angle 2=x+2y

Angle 1 and angle 2 are the angles of straight line ,there sum will be 180.

2x+y+x+2y=180

3x+3y=180

x+y=60......(2)

Add (1) and (2):

x-y=20

x+y=60

_______

2x=80

x=40

subtitute x=40 in (2):

40+y=60

y=60-40

y=20

<u>F</u><u>o</u><u>r</u><u> </u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>7</u><u>:</u>

<u>B</u><u>y</u><u> </u><u>u</u><u>s</u><u>i</u><u>n</u><u>g</u><u> </u><u>d</u><u>e</u><u>f</u><u>i</u><u>n</u><u>i</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>o</u><u>f</u><u> </u><u>a</u><u>l</u><u>t</u><u>e</u><u>r</u><u>n</u><u>a</u><u>t</u><u>e</u><u> </u><u>e</u><u>x</u><u>t</u><u>e</u><u>r</u><u>i</u><u>o</u><u>r</u><u> </u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u>:</u>

angle 1=angle 7

angle 7=2x+y

subtitute x and y:

angle 7=2(40)+20

=100

<u>F</u><u>o</u><u>r</u><u> </u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>8</u><u>:</u>

<u>B</u><u>y</u><u> </u><u>u</u><u>s</u><u>i</u><u>n</u><u>g</u><u> </u><u>d</u><u>e</u><u>f</u><u>i</u><u>n</u><u>i</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>o</u><u>f</u><u> </u><u>a</u><u>l</u><u>t</u><u>e</u><u>r</u><u>n</u><u>a</u><u>t</u><u>e</u><u> </u><u>o</u><u>p</u><u>p</u><u>o</u><u>s</u><u>i</u><u>t</u><u>e</u><u> </u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u>:</u>

angle 8=angle 6

angle 8= 3y+20

angle 8=3(20)+20

=80

irina [24]3 years ago
5 0

Answer:The answer is in the attached file below

Step-by-step explanation:

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The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides does this polygon have?

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