The base JK of isosceles triangle HJK is produced to L.if J=69 calculate HKL
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To calculate the measure of angle HKL, we need to use the properties of isosceles triangles.
Since triangle HJK is isosceles and the base JK is extended to point L, angle HKL will be equal to angle HJK.
Given that angle J = 69 degrees, we can determine the measure of angle HJK.
To find the measure of angle HJK, we can use the fact that the sum of all angles in a triangle is 180 degrees.
In triangle HJK, we have:
angle HJK + angle J + angle HKJ = 180 degrees
Since angles HJK and HKJ are congruent (as triangle HJK is an isosceles triangle), we can rewrite the equation as:
2 * angle HJK + 69 degrees = 180 degrees
Subtracting 69 degrees from both sides of the equation:
2 * angle HJK = 180 degrees - 69 degrees
2 * angle HJK = 111 degrees
Now, we can solve for angle HJK by dividing both sides of the equation by 2:
angle HJK = 111 degrees / 2
angle HJK = 55.5 degrees
Therefore, angle HKL (which is equal to angle HJK) is 55.5 degrees.