On solving the provided question, we got to know that ∠ H + ∠ K = 45°.
K therefore has a 135° measure.
A unique kind of quadrilateral created by parallel lines is a parallelogram. A parallelogram might have different angles between its neighboring sides, but it must have parallel opposite sides in order to be considered one. If a quadrilateral's opposite sides are parallel and congruent, it is a parallelogram. As a result, a parallelogram is a quadrilateral with both pairs of opposite sides being parallel and equal.
the K-value of the angle.
First of all, we should be aware that the sum of the adjacent angles in the parallelogram ABCD, which has the angles A, B, C, and D, is 180°.
[tex]angle A + angle B = 180\\ angle B + angle C = 180\\ angle C + angle D = 180\\ angle A + angle D = 180[/tex]
They're considered to be a linear pair.
As a result, the parallelogram HIJK, whose angle H = 45°, is what we have.
Therefore, ∠ H +∠K = 180° (linear pair),
∠ K = 180° - 45°
∠ K = 135°,
and
∠ H + ∠ K = 45°.
K therefore has a 135° measure.
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