Question

in the given figure, OC and OD are the angle bisectors of angleBCD and angleADC respectively. if angleA=105°,find angle B​

Answer 1

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°

Answer 2

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°