In right-angled triangle ABC, angle C = 90, angle B = 25. Find the degree measure
| September 12, 2021 | education
In right-angled triangle ABC, angle C = 90, angle B = 25. Find the degree measure of the angle between the height of the triangle CH and the bisector CL.
Determine the value of the angle BAC of the triangle ABC.
Angle BAC = 180 – BCA – ABC = 180 – 90 – 25 = 65.
Then the angle НСA = 180 – 90 – 65 = 25.
The angle ACB = 90, and the segment CL is the bisector of the angle, then the angle BCL = ACL = 45.
Then the angle LCH = ACL – HCA = 45 – 25 = 20.
Answer: The angle between the height and the bisector is 20.
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