Answer:
[tex]\angle ABC =60[/tex]
Step-by-step explanation:
Given
[tex]\angle CAB = 75[/tex]
The attached triangle
Required
Find [tex]\angle ABC[/tex]
First, calculate [tex]\angle BCA[/tex]
[tex]\angle BCA + 135 = 180[/tex] --- angle on a straight line
[tex]\angle BCA = 180 - 135[/tex]
[tex]\angle BCA = 45[/tex]
[tex]\angle ABC[/tex] is then calculated using:
[tex]\angle ABC + \angle BCA + \angle CAB =180[/tex] -- angle in a triangle
[tex]\angle ABC + 45+ 75=180[/tex]
[tex]\angle ABC =- 45- 75+180[/tex]
[tex]\angle ABC =60[/tex]
