Question

Triangle's a cd and b cd ri sauce leaves angle ba c, has a measure of 33 degrees, and it'll bdc hasn't measured 35 degrees, find the measure of angle abd.

Answer 1

The measure of angle ABD is found by subtracting the measure of angle BAC (33 degrees) from the measure of angle BDC (35 degrees), resulting in 2 degrees.

Step-by-step explanation:

The question asks us to find the measure of angle ABD in a triangle. Given the measures of angle BAC as 33 degrees and angle BDC as 35 degrees, we can proceed by understanding that the sum of angles in a triangle equals 180 degrees.

We know angle BAC and angle ABD are part of triangle ABC, and angle BDC is part of triangle BCD. We also use the fact that in a triangle, if an angle is out of the triangle and is adjacent to an interior angle, then it equals the sum of the other two interior opposite angles.

With this in mind, angle ABD equals angle BDC minus angle BAC. Hence, the measure of angle ABD is 35 degrees minus 33 degrees, which equals 2 degrees.