The measure of angle m∠ABC is 45 degrees
To get the measure of m∠ABC, we will use SOH CAH TOA on the right triangle ABM
Given the following parameters:
- Adjacent = AM = 1
- Hypotenuse = AB =√2
Cos m∠ABC = AM/AB
Cos m∠ABC = 1/√2
m∠ABC = arccos (1/√2)
m∠ABC = 45 deegres
Hence the measure of angle m∠ABC is 45 degrees
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
