In the isosceles triangle ABC, with the base AB, the height BK is drawn. Find the angles of the triangle
| July 8, 2021 | education
In the isosceles triangle ABC, with the base AB, the height BK is drawn. Find the angles of the triangle if the angle is ABK = 34 degrees.
Since BK is the height of triangle ABC, the angle BKA = 90.
In a right-angled triangle ABK, we determine the value of the angle BAK.
Angle BAK = 180 – BKA – ABK = 180 – 90 – 34 = 56.
In an isosceles triangle, the angles at the base are equal, then the angle ABC = BAC = BAC = 56.
The sum of the inner angles of the triangle is 180, then the angle ACB = 180 – ABC – BAC = 180 – 56 – 56 = 68.
Answer: The angles of the triangle ABC are equal to 56, 68, 56.
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