What is the measure of BC⏜ ? Enter your answer in the box. ° Circle with inscribed angle B D C. Angle B D C is 65 degrees.

Mathematics

2 answers:

Zigmanuir [339]4 years ago

6 0

Answer:

Minor arc BC - 130° (arc at which inscribed angle is subtended)

The major arc BC - 230°

Step-by-step explanation:

Angle BDC is inscribed angle subtended on the arc BC.

The measure of the angle BDC is 65°.

The Central Angle Theorem states that the central angle from two chosen points B and C on the circle is always twice the inscribed angle from those two points.

By the central angle theorem, the measure of central angle BOC (O is the center of the circle) has the measure of

$2\cdot 65^{\circ}=130^{\circ}$

Hence, the minor arc BC has the same measure as the central angle BOC that is 130°.

The major arc BC has the measure

$360^{\circ}-130^{\circ}=230^{\circ}$

Ganezh [65]4 years ago

3 0

Answer:

130

Step-by-step explanation:

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