In triangle ABC, angles A and C are equal to 40 and 60 degrees, respectively. find the angle
| September 20, 2021 | education
In triangle ABC, angles A and C are equal to 40 and 60 degrees, respectively. find the angle between the height HH and the bisector BD.
Determine the value of the angle CBA of the triangle ABC.
Angle СВА = (180 – АСВ – АСВ) = (180 – 60 – 40) = 80.
The segment BD is the bisector of the angle ABC, then the angle CBD = ABC / 2 = 80/2 = 40.
BH is the height of the ABC triangle, then the СBН triangle is rectangular, and the angle СBН = (90 – НBC) = (90 – 60) = 30.
Then the angle DВН = СBD – СBН = 40 – 30 = 10.
Answer: The angle between the height and the bisector is 10.
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