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strojnjashka [21]
2 years ago
5

Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle O? You must show all your work.

Mathematics
1 answer:
likoan [24]2 years ago
4 0

Answer:

88 deg

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. That means that the sum of the measures of angles O and Q is 180 deg.

2x + 2x + 4 = 180

4x + 4 = 180

4x = 176

x = 44

m<O = 2x = 2(44) = 88

Answer: 88 deg

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elena-s [515]

Answer:

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Step-by-step explanation:

Before the comparison will be efficient, let's determine the equation of the two points and the x intercept .

(–2, –9) and (4, 6)

Gradient= (6--9)/(4--2)

Gradient= (6+9)/(4+2)

Gradient= 15/6

Gradient= 5/2

Choosing (–2, –9)

The equation of the line

(Y+9)= 5/2(x+2)

2(y+9)= 5(x+2)

2y +18 = 5x +10

2y =5x -8

Y= 5/2x -4

Choosing (4, 6)

The equation of line

(Y-6)= 5/2(x-4)

2(y-6) = 5(x-4)

2y -12 = 5x -20

2y = 5x-8

Y= 5/2x -4

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4 0
3 years ago
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Step-by-step explanation:

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3 years ago
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