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If measure of opposite angles of a parallelogram are (60 − x)° & (3x − 4)°, find the measures of angles of the parallelogram.
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M,N & P are the mid-points of sides AB, AC & BC of a △ ABC respectively. If MN= 3 cm, NP= 3.5 cm and MP= 2.5 cm, calculate BC, AB & AC respectively.
Assertion (A): In △ABC, E and F are the midpoints of AC and AB respectively. The altitude AP at BC intersects FE at Q. Then, AQ = QP. Reason (R): Q is the midpoint of AP.
ABCD is a rhombus and P,Q,R,S are mid-points of AB, BC,CD and DA respectively. Prove that quadrilateral PQRS is a rectangle.
ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.
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