Question

WILL GIVE BRAINLIEST! Given: ∆ABC, AB =√2. M ∈ AC, AM = 1. BM = 1, BC = 2. Find: m∠ABC

Answer 1

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