Question

in triangle abc angle b is equals to angle C and ray AX bisects exterior angle DAC if angle DAX is equal to 70 degree then angle ACB is equal to what

Answer 1

Answer:

70 degrees

Step-by-step explanation:

As described, D must be on the extension of the side AB, going beyond A.

As AX bisects angle DAC, angle DAX is half of angle DAC.  We're told that angle DAX is 70 degrees, so angle DAC is 140 degrees.  Since DAB is a straight line, the angles DAC and CAB add up to 180 degrees.  So

angle CAB = 180 - angle DAC = 180 - 140 = 40 degrees.

Since the angles in a triangle add up to 180 degrees, we have

angle CAB + angle ACB + angle ABC = 180 degrees

so

angle ACB + angle ABC = 180 - angle CAB = 180 - 40 = 140 degrees.

We're also told that angles ACB and ABC are equal, so the above equation tells us that

angle ACB = 70 degrees.

Answer 2

Step-by-step explanation:

here you go thank you