In triangle ABC, bisectors AN and BL are drawn which intersect at point O. Angle AOB is 131. Find the outer angle at vertex C.
February 26, 2021 | education
| Since the angle AOB is equal to 131 degrees.
Knowing that the sum of the angles of a triangle is 180g.
This means that there will be two remaining.
180-131 = 49gr.
Further:
Considering that АN and BL are bisectors, the sum of the angles CAB and CBA is equal to:
49×2 = 98 gr.
Accordingly, the angle of the ВСA remains:
180-98 = 82 gr.
Hence:
The outer angle at the vertex C is equal to:
180-82 = 98gr.
Since the outer and inner corners are adjacent.
Answer: The outer corner is 98 degrees.
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