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Rus_ich [418]
3 years ago
7

Find the measure of b

Mathematics
2 answers:
Yanka [14]3 years ago
5 0
<h3>Answer:  100</h3>

========================================================

Explanation:

Let's add angle c to the diagram such that it's adjacent to angle b, and inside the quadrilateral. Notice how angle c is opposite the 100 degree angle of this inscribed quadrilateral.

For any inscribed quadrilateral, the opposite angles are supplementary

c+100 = 180

c = 180-100

c = 80

Angles b and c are supplementary as well, because they form a straight line.

b+c = 180

b+80 = 180

b = 180-80

b = 100

In short, angle b is the same measure as that 100 degree angle in the diagram.

VMariaS [17]3 years ago
5 0

Step-by-step explanation:

Hi there!

From the above figure;

Let "x" be an unknown angle.

Then;

100° + X = 180°. { The opposite angles of cyclic quadrilateral is supplementary}

X = 180°-100°

Therefore, X= 80°.

Now;

X+b = 180°. {linear pair}

80° + b = 180°

Therefore, b = 100°.

[Next method:

b = 100° {When any side of cyclicquadrilateral is extended the external angle is equal to opposite interior angle.]

<u>Hope</u><u> it</u><u> helps</u><u>.</u>

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postnew [5]

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40+35+16+16+125.7= 232.7 m

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3 years ago
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tankabanditka [31]

Answer:

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3 years ago
Read 2 more answers
-5x - 2y = 13<br> -4x + y = 0<br> Solve by substation
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Answer:

(x,y)=(-1,-4)

Step-by-step explanation:

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+4x         +4x

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5 0
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alexgriva [62]

Answer: i dont this you can combine like terms for this question because none of these have the same variable or anything.

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