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Which of the following is the measure of XBA if ray bisects XBY which measures 70?
Wiki User
∙ 7y ago
The answer depends on which ray bisects XBY, and where A is located.
Wiki User
∙ 7y ago
Anonymous
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Why are cycles named after ladies?
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List of the top 10 headphones?
There are differing opinions, so it depends on the list. One list for 2014 says that the number one headphones are the AKG K451. The list continues with the B&W P3, the Soundmagic E10, and the Sony XBA-4iP followed by the SOL Republic Master Tracks. The rest of the list includes the Philips Fidelio M1BT, the Adagio III, SoundMagic P30, Sennheiser Momentum, and finally the PSB M4U2. Another list has the Beats Studio wireless series in the number one spot.
In a parallelogram show that bisectors of adjacent angles intersect at right angles?
Label the parallelogram ABCD (with AB parallel to DC, AD parallel to BC) and the point where the angle bisectors of DAB and ABC meet X. It is needed to be shown that angle AXB is 90o.Call angle DAB a and angle ABC b. Then the bisectors of these angles are 1/2a and 1/2b.First note that for a parallelogram, opposite angles are equal, ie:ADC = ABC = aDAB = DCB = bAlso, the sum of all angles in a quadrilateral (and a parallelogram is one) in 360o. Thus:360o = DAB + ABC + BCD + CDA360o = a +b + a + b360o = 2a +2bOr dividing by 2:180o = a + band again by 2:90o = 1/2a + 1/2b - [1]Now consider triangle AXB. Angle XAB = 1/2b, XBA = 1/2b. So angle:AXB = 180o - (XAB + XBA)AXB = 180o - (1/2a + 1/2b)AXB = 180o - 90o (As shown in [1] above)AXB = 90oThus the bisectors of adjacent angles of a parallelogram meet at right angles.Opposite angles of a parallelogram can be shown to be equal by extending sides AB and DC and then using corresponding and alternate angles.Alternatively, adjacent angles of a parallelogram can also be shown to sum to 180o by extending line AB (to any point Y beyond B) and using that DAY and CBY are corresponding angles and that ABC and CBY sum to 180o since ABY is a straight line.
