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02 May 2020, 05:56
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Difficulty:
15%
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89% (01:52) correct
11%
(01:28)
wrong
based on 36
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A circle with center O is inscribed in triangle ABC. If angle BAC = 60° and angle ABC = 70°, then what is the measure of angle BOC ?
A. 80°
B. 90°
C. 120°
D. 130°
E. 150°
Are You Up For the Challenge: 700 Level Questions
A. 80°
B. 90°
C. 120°
D. 130°
E. 150°
Are You Up For the Challenge: 700 Level Questions
02 May 2020, 16:37
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OD=OF (radius)
angle ODB = angle OFB = 90
BF=BD (tangent segments from the same exterior points
Hence triangle OFB is congruent to triangle ODB
angle OBD = angle OBF = 70/2 =35
Similarly
angle OCD = angle OCE= 50/2 =25
Angle BOC = 180-35-25 = 120
angle ODB = angle OFB = 90
BF=BD (tangent segments from the same exterior points
Hence triangle OFB is congruent to triangle ODB
angle OBD = angle OBF = 70/2 =35
Similarly
angle OCD = angle OCE= 50/2 =25
Angle BOC = 180-35-25 = 120
Bunuel
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