In the Triangle ABC, A=50, C=26 and AB is produced to D. Find ABC(B angle) and CBD(B angle). Answers are 104 and 76?

that is correct.

The external angle is the sum of the other two interior angles.
The two angles at B form a linear pair.

Sir can you further explain it specially CBD(B angle)

The exterior angle at B (CBD) is the sum of the other two interior angles at A and C.

The two angles at B (CBD and CBA) form a linear pair.

Looks like you need to review the section on triangles.

I was confuse at AB is produced at D,but

now I got it,thanks Sir...

To find the measure of angle ABC in a triangle, we can use the fact that the sum of the interior angles of a triangle is always 180 degrees.

Given that angle A is 50 degrees and angle C is 26 degrees, we can subtract the sum of these two angles from 180 degrees to find angle B.

Step 1: Sum of angles A and C:
50 + 26 = 76

Step 2: Finding angle B:
180 - 76 = 104

Therefore, angle ABC measures 104 degrees.

Now, to find angle CBD, we need to use the fact that when a line is drawn through one side of a triangle parallel to another side, the corresponding angles formed are equal.

Since AB is produced to D, angle ABC and angle CBD (as corresponding angles) will be equal.

Therefore, angle CBD also measures 104 degrees.

Hence, the correct answers are 104 for angle ABC and 104 for angle CBD, not 76.