The ABC triangle is isosceles with the AC base. AK – height. Find the BAK angle if the angle is C = 70 degrees.

Since the triangle ABC is isosceles, the angles when warping the AC are equal. BCA angle = BAC = 70.

The sum of the angles of the triangle is 180, then the angle ABC = 180 – BAC – BCA = 180 – 70 – 70 = 40.

Since AK is height, then the triangle AВK is rectangular, then the angle ВAK = 180 – ВKA – AВK = 180 – 90 – 40 = 50.

Answer: The ВAK angle is 50.



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