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BBB In figure, if XOY¯ is a line, OQ¯ bisects ∠COY and ∠POQ is right angle then prove that OP¯ bisects the ∠XOC.
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BBB If an obtuse angle is bisected, then the resulting two angles are _________.
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BBB Find the angle made by the angular bisector of the angle between OF2 and OF4 with the vertical.
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ff Find m∠BFC if BF and CF are the angle bisectors of ∠CBD and ∠BCE.
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| ff If OC¯, OD¯, OE¯, OF¯, OD¯′, OE¯′ and OF¯′ are the angular bisectors of ÐAOB, ÐCOB, ÐDOB, ÐEOB, ÐAOC, ÐAOD′ and ÐAOE′ respectively, then find the value of (α+βα-β). ff |
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ff In figure, if XOY¯ is a line, OQ¯ bisects ∠COY and ∠POQ is right angle then prove that OP¯ bisects the ∠XOC.
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| ff AD¯ is the bisector of ∠BAC. AE¯ is the bisector of ∠BAD. What is the ratio of m∠BEA to m∠BDA? ff |
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ff The lines OP¯, OQ¯ makes an angle 75° and 32°respectively with the horizontal in the same direction. Find the angle made by the angular bisector of ∠POQ with the horizontal.
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ff Find the ratio of angles (measured from horizontal) made by the angular bisectors of the angles made by OX¯, OY¯ and OP¯, OQ¯.
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ff Choose the relation between x and y such that BD¯ is the angular bisector in the given figure.
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| ff CE bisects ∠ACD. CF bisects ∠ACE. Find the measure of ∠BAC if BC¯ || AE¯ ff |
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ff QT→ and QS→ are the bisectors of ÐPQS and ÐRQT. Find mÐSQT.
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| ff EL¯ is the bisector of ÐFEB and mÐLEB is 55. Find mÐCFQ. ff |
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| ff What is the angle between the interior angle bisector and the exterior angle bisector of the angle formed by two rays? ff |
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| ff How many equidistant points are lying on the angular bisectors of two intersecting lines AB and CD at a distance of 5 cm from their point of intersection? ff |
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| ff What is the locus of a point equidistant from two intersecting lines? ff |
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| ff How many number of points are there which are lying on the perpendicular bisector of a line segment and are at a distance of 5 cm from the line segment? ff |
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ff If OC¯, OD¯ and OE¯ are the angular bisectors of ∠AOB, ∠AOC and ∠DOC respectively, then find α.
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| ff ON¯ and OM¯ are the interior and exterior angle bisectors of ∠AOB respectively. If ∠AON = 30o, then ∠MOA is ff |
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ff ON¯ and OM¯ are the interior and exterior angle bisectors of ∠AOB respectively. If ∠MOB = 110o, then ∠NOB equals
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ff P and M are the points on the perpendicular bisector of AB¯. If ∠PAB > ∠MAB, then which of the following is true?
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| ff OB is the angle bisector of ∠COA. If ∠BOA = 40o. Find ∠COD. ff |
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| ff Find the number of angular bisectors that can be drawn to the given figure. ff |
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ff OQ and OR are the bisectors of ∠RQS and ∠QRT, what is the measure of ∠P?
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ff What is the measure of ÐDOC, if OD¯ is the bisector of ÐCOB?
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