The base jk of isosceles triangle hjk is produced l. If j= 69°, calculate hkl
angles HJK and HJL add to 180°
To find the value of angle HKL, we need more information about the triangle. Specifically, we need either the length of one of the sides or another angle measurement.
To calculate the angle HKL, we need to use the fact that the sum of the angles in a triangle is 180 degrees.
First, let's find the angle HKJ. Since triangle HJK is an isosceles triangle, the base angles HJK and HKJ are equal. If J = 69°, then angle HJK = angle HKJ = 69°.
Next, let's find the angle JKL. The base JK is produced to point L, which means we have an exterior angle. For any triangle, the measure of an exterior angle is equal to the sum of the two opposite interior angles. So, angle JKL = angle HKJ + angle HJK.
Substituting the values, angle JKL = 69° + 69° = 138°.
Lastly, we can find the angle HKL. Since triangle HJK is isosceles, the base angles HKJ and HJK are equal. Therefore, angle HKL = angle HKJ + angle JKL = 69° + 138° = 207°.
The angle HKL is equal to 207°.