in the given figure, OC and OD are the angle bisectors of angleBCD and angleADC respectively. if angleA=105°,find angle B
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10
Answer:
OD is the bisector of ADC
OC is the bisector of BCD
Whole angle D = ODC × 2
D = 25° × 2 = 50°
Whole angle C = OCD × 2
C = 30° × 2 = 60°
A + B + C + D = 360° ( sum of angles of quadrilateral = 360° )
105° + B + 60° + 50° = 360°
105° + B + 110° = 360°
B + 105° + 110° = 360°
B + 215° = 360°
B = 360° - 215°
B = 145°
Therefore, the measurement of angle B is 145°
Answered by
5
Answer:145 degree
Step-by-step explanation:
OD is the bisector of ADC
OC is the bisector of BCD
Whole angle D = ODC × 2
D = 25° × 2 = 50°
Whole angle C = OCD × 2
C = 30° × 2 = 60°
A + B + C + D = 360° ( sum of angles of quadrilateral = 360° )
105° + B + 60° + 50° = 360°
105° + B + 110° = 360°
B + 105° + 110° = 360°
B + 215° = 360°
B = 360° - 215°
B = 145°
Therefore, the measurement of angle B is 145°
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