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

In DeltaABC,angleA:angleB:angleC=3:4:5 . Find the measure of each angle of DeltaABC .

In DeltaABC,angleA=(angleB+angleC)/(3) and angleB:angleC=2:1 . Find the measure of each angle of DeltaABC and state the type of DeltaABC .

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 triangle ABC, AB = AC and angle A = 36^(@) . The bisector of angle C intersects AB at D. Find the measures of required angles to prove that AD = BC

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 .

In the given figure, sides AB and AC of triangle ABC are extended to points P and Q respectively. Also, angle PBC lt angle QCB . Show that AC gt AB

In the given figure, ABC is an equilateral triangle with side 14 cm and a circle of radius 7 cm is drawn with vertex A as centre. Find the area of the shaded region. (Use sqrt(3) = 1.73 ) [Hint : Required area = Area of triangle + Area of circle -2 xx Area of sector]

In the given figure, AD is perpendicular to BC and EF || BC, if /_ EAB = /_ FAC , show that triangles ABD and ACD are congruent. Also, find the values of x and y if AB = 2x + 3, AC = 3y + 1, BD = x and DC = y + 1.