The bisectors of the angles B and C of the triangle ABC intersect at point K. Find the angle BSC if the angle
| May 10, 2021 | education
The bisectors of the angles B and C of the triangle ABC intersect at point K. Find the angle BSC if the angle B = 40 degrees and the angle C = 80 degrees.
Consider a triangle ABC.
By definition, the bisectors of angles B, C divide these angles in half.
Hence:
angle KBC = 40 ° / 2 = 20 °,
angle BCK = 80 ° / 2 = 40 °,
angle CKB = 180 ° – KBC – BCK = 180 ° – 20 ° – 40 ° = 120 °.
Answer:
angle BCK = 40 °,
angle CKB = 120 °.
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