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Angle BAC measures 56°.
Circle E is shown. Line segments A C and B D are diameters. Lines are drawn to connect points B and C and points A and D. Angle B A C is 56 degrees.
What is the measure of angle BDC?
28°
34°
56°
112°
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Answered by
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56°
Reason: Inscribed angle BAC subtends arc BC, so arc BC = 2×56° = 112°. Angle BDC is also an inscribed angle that subtends the same arc BC, so its measure is 112°/2 = 56°.
Reason: Inscribed angle BAC subtends arc BC, so arc BC = 2×56° = 112°. Angle BDC is also an inscribed angle that subtends the same arc BC, so its measure is 112°/2 = 56°.
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