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4 years ago

I will NAME YOU THE BRAINIEST

Mathematics

2 answers:

Dmitry_Shevchenko [17]4 years ago

8 0

Answer:

see below

Step-by-step explanation:

Since the quadrilateral is inscribed in the circle, the opposite angles add to 180.

<V+ <B = 180

74+ <B = 180

Subtract 74 from each side

74-74+ <B = 180-74

<B = 106

We now need to find arc AB

Arc AC is 2* <V = 2*74 =154

We know arc AC = arc AB + arc BC

154 = arc AB + 86

Subtract 86 from each side

154-86 = arc AB + 86 -86

68 = arc AB

Aleonysh [2.5K]4 years ago

5 0

Answer:

Arc AB = 62°

Angle B = 106°

Step-by-step explanation:

Angle V + Angle B = 180

(Opposite angles add up to 180)

74 + Angle B = 180

Angle B = 106°

Let O be the centre of the circle.

Angle OBC = (180-86)/2 = 47°

Angle BOA = 106 - 47

= 59° = Angle AOB

Angle Arc AB = 180 - 2(59) = 62°

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