In the diagram below of circle O, OB and OC are radii, and chords AB, BC,
and AC are drawn.
B
С
Which statement must always be true?
1) ZBAC & ZBOC
2) MZBAC -
3) ABAC and ABOC are isosceles.
4) The area of ABAC is twice the area
of ABOC.
m_BOC

Respuesta :

Answer:

It would be number 2. measure of angle BAC is equal to half the measure of angle BOC.

Step-by-step explanation:

This is because of inscribed angles.

In the diagram below of circle O, OB and OC are radii, and chords AB, BC, and AC are drawn. The correct statement is B. m < BAC = 1/2 m < BOC.

How to explain the circle?

From the information given, (a + b) + (a + c) + (b + c) = 180°

2a + 2b + 2c = 180°

2a + 2b = 180° - 2c

2(a + b) = 180° - 2c

Therefore, m < BAC = 1/2 m < BOC.

In conclusion, the correct option is B.

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