Question

in triangle abc angle b is equal to angle c and ray A X bisects exterior angle DAC . if angle d a x is equal to 70 degree then angle ACB is equals to
there is no figure provided ​

Answer 1

if ∠DAX =70°, then ∠ACB = A. 35°

Answer 2

Answer:

Given: In A ABC ZB = ZC and ray AX

bisects the exterior angle <DAC and

ZDAX = 70°.

160

To Find : ZACB

Proof:

Ray AX bisects exterior angle ZDAC.

.: CAD = 2 × <DAX

/_ CAD = 2 × 70°

/_ CAD = 140°

By exterior angle theorem, If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles :

Ext. <CAD = 2B + <C

140° = 2C+ ZC