In the given figure `triangle`ABC side AC has been produced to D. `angleBCD = 125^(@)` and `angleA:angleB= 2 : 3`, find the measure of `angleA` and `angleB`

In the given figure ,AB,BC and AC touch the circle at L,M and N respectively .If angleB=70^(@) and angleC=60^(@) ,then the measure of angleLON is :

In the given figure angleA= 40^(@) . If bar(BO) and bar(CO) are the bisectors of angleB and angleC respectively. Find the measure of angleBOC .

In the given figure, angleB lt angleA and angleC lt angleD . Show that AD lt BC .

In the adjacent figure, ABC is a triangle in which angleB = 50^(@) and angleC = 70^(@) . Sides AB and AC are produced. If ‘z’ is the measure of the angle between the bisectors of the exterior angles so formed, then find 'z'.

In a DeltaABC,angleC=3angleB=2(angleA+angleB) . Find the three angles.

In the adjacent figure the sides AB and AC of Delta ABC are produced to points E and D respectively. If bisectors BO and CO of angleCBE and angleBCD respectively meet at point O, then prove that angleBOC = 90^(@)-(1)/(2) angleBAC .

ABC is a right triangle in which angleA = 90^(@) and AB = AC. Find angleB and angleC .

triangleABC is an isosceles triangle in which AB= AC. Side BA is produced to D such that AD = AB. Show that angleBCD is a right angle.