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3 years ago

If a quadrilateral has three angles measuring 60',45' and 100' what is the angle of the fourth angle

Mathematics

1 answer:

Alchen [17]3 years ago

3 0

Answer:

155°

Step-by-step explanation:

The sum of the 4 interior angles of a quadrilateral = 360°

Subtract the sum of the 3 given angles from 360 for fourth angle

fourth angle = 360° - (60 + 45 + 100)° = 360° - 205° = 155°

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olga_2 [115]

Let

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let's assume different values of x to get the different values of y

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substitute in the equation 1

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see the draw in the attached figure N 1

case 2) For x=32 units

substitute in the equation 1

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$y=64/32$

$y=2\ units$

the dimensions of the rectangle are 32 units x 2 units

see the draw in the attached figure N 2

case 3) For x=16 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/16$

$y=4\ units$

the dimensions of the rectangle are 16 units x 4 units

see the draw in the attached figure N 3

case 4) For x=30 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/30$

$y=\frac{32}{15} =2\frac{2}{15} \ units$

the dimensions of the rectangle are 30 units x 2 (2/15) units

see the draw in the attached figure N 4

case 5) For x=40 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/40$

$y=1.60\ units$

the dimensions of the rectangle are 40 units x 1.60 units

see the draw in the attached figure N 5

case 6) For x=60 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/60$

$y=\frac{16}{15} =1\frac{1}{15} \ units$

the dimensions of the rectangle are 60 units x 1 (1/15) units

see the draw in the attached figure N 6

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Expert Answer

Step-by-step explanation:

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3 years ago

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3 years ago

If a quadrilateral has three angles measuring 60',45' and 100' what is the angle of the fourth angle​

If a quadrilateral has three angles measuring 60',45' and 100' what is the angle of the fourth angle