The measure of triangle ABC is 180 degrees.
Let's start by analyzing the exterior angle ACD.
According to the exterior angle theorem, the measure of the exterior angle is equal to the sum of the measures of the two interior angles adjacent to it.
In this case, the exterior angle ACD is equal to the sum of angles CAB and ABC:
(7x + 5) = 6x + 37
Now, let's solve for x:
7x - 6x = 37 - 5
x = 32
Substitute the value of x back into the equation for angle CAB to find its measure:
Angle CAB = 6(32) = 192 degrees
Therefore, the measure of triangle ABC is 180 - 192 = -12 degrees.
However, triangle angles cannot be negative, so the measure of triangle ABC is 180 degrees.
The probable question may be:
In triangle ABC, Angle CAB=6x degree, Angle ABC=37 degree line C is extended to B outward and form exterior angle ACD=(7x+5) degree. find the measure of triangle ABC.