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erica [24]
3 years ago
5

Draw two intersecting line segment AB and CD intersecting at O. Measure the size of each pair of vertically opposite angles. Ver

ify that each pair of vertically opposite angles are equal.
Mathematics
1 answer:
grandymaker [24]3 years ago
6 0

Answer:

Angles vertically opposite to each other are equal.

Step-by-step explanation:

There are two lines AB and CD intersecting at point O making angles 1 ,2,3 and 4.

The angles 1 and3  , angles 2 and 4 are vertically opposite angles.

Now consider the line AB

<1 + <2= 180 degrees--------- eq A

Now consider the line CD

<2+ <3= 180 degrees-----------eq B

As both equations are equal

< 1+ <2= <2+ <3 = 180 degrees

or

< 1+ <2= <2+ <3     or

< 1=  <3                           subtracting <2 from both sides

Now consider the line BA

<3+ <4= 180 degrees--------- eq C

Now consider the line DC

<4+ <1= 180 degrees-----------eq D

As both equations are equal

< 3+ <4= <4+ <1 = 180 degrees

or

< 3+ <4= <4+ <1    

or

< 3=  <1                           subtracting <4 from both sides

This holds true for all vertically opposite angles that they are equal.

These can be measured with a protractor.

This can also be proved that if we add angles 1,2,3 and 4 we will get 360

and if we subtract  angles 1 & 2 from 360 we will get 180 degrees which angles 3&4 make together.

<1+<2+<3+<4= 360 degrees

But <1 +<2= 180  

360 - [ <1+<2] = 180 degrees

<3 +<4= 180  

<1 +<2= <3 +<4= 180  

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brilliants [131]

Answer:

1. 100 which Is the easier one

2. 5

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2 years ago
I would really appreciate it if someone could answer these as i'm really stuc and its due for tomorrow.
k0ka [10]
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50 x 0.2 = 10

2) Round 96 to 100 and 0.499 to 0.5
100 divided by 0.5 = 50

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7 - 8x + 22<br> What does X equal!<br> x =?
VashaNatasha [74]

Answer: x = -3.625 or -29/8

Step-by-step explanation:

7-8x+22

1. -Set it equal to 0.

7-8x+22=0

2. Subtract 7 and 22 from both the left and right sides.

7-8x+22=0

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Leave it in fraction form if decimal is unacceptable.

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3 years ago
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