A parallelogram is constructed and named KLMN. LP is perpendicular to KL and ML is the angular bisector of ∠KLP. Find the value of ∠KNM.
A
15∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
30∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
45∘
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
60∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C45∘ ∠KLP=90∘ LM is an angular bisector of ∠KLP. ∴∠KLM=12×90∘=45∘ ∠KLM=∠KNM [opposite angles of a parallelogram are equal] ∴∠KNM=45∘