21.In figure, lines XY and MN intersect at O. If ∠POY = 90° and a : b = 2 : 3, find c.
747 Views
22.In figure, ∠PQR = ∠PRQ, then prove that ∠PQS = ∠PRT.
465 Views
23.In figure, if x + y = w + z, then prove that AOB is a line.
512 Views
24.In figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that
615 Views
Advertisement
25.It is given that ∠XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP, find ∠XYQ and reflex ∠QYP.
525 Views
26.In figure, if AOB is a line, OP bisects ∠BOC and OQ bisects ∠AOC, show that ∠POQ is a right angle.
530 Views
27.In the given figure, lines XY and MN intersect each other at O. If ∠POY = 90° and a : b = 2 : 3, then find c.
854 Views
28.In figure, find the values of x and y and then show that AB || CD.
127 Views
Advertisement
29.In figure, if AB || CD, CD || EF and y : z = 3 : 7, find x.
599 Views
30.In figure, if AB || CD, EF ⊥ CD and ∠GED = 126°, find ∠AGE, ∠GEF and ∠FGE.
Short Answer Type
