Q. 22

# In ABC the angle bisectors of and meet at O. If =70°,Find .

Answer :

125°

Given, bisector of and meet at O.

If OB and OC are the bisector of and meet at point O .

Then,

= 90°+

⇒= 90°+ 70°

⇒= 125°

Rate this question :

Prove that the angles opposite to equal sides of a triangle are equal

RS Aggarwal & V Aggarwal - MathematicsIf the sides of a triangle are produced in order, then the sum of the three exterior angles so formed is

RD Sharma - MathematicsIn Δ *ABC*, if ∠*A* = 100° *AD* bisects ∠*A* and AD⊥BC. Then, ∠*B* =

D is any point on side AC of a ΔABC with AB = AC. Show that CD < BD.

NCERT Mathematics ExemplarIn a triangle *ABC*, if *AB* = *AC* and AB is produced to *D* such that *BD* = *BC*, find ∠*ACD*: ∠*ADC.*

If the side of a triangle are produced in order, Prove that the sum of the exterior angles so formed is equal to four right angles.

RS Aggarwal & V Aggarwal - Mathematics

In Δ *ABC*, ∠*A*=50° and *BC* is produced to a point *D*. If the bisectors of ∠*ABC* and ∠*ACD* meet at *E*, then ∠*E* =

Compute the value of *x* in each of the following figures:

(i)

(ii)

(iii)

(iv)

RD Sharma - Mathematics

In Δ *PQR*, if *PQ*=*QR* and *L, M* and *N* are the mid-point of the sides *PQ, QR* and *RP* respectively. Prove that *LN*=*MN*.

In a right-angled triangle, one of the acute measures 53°^{.} Find the measure of each angle of the triangle.