Answer:
[tex]\alpha = 67.5[/tex]
Step-by-step explanation:
Represent the first angle with [tex]\theta[/tex]
[tex]\theta = 45[/tex]
Represent the equal angles with [tex]\alpha[/tex]
So:
[tex]\alpha + \alpha + \theta = 180[/tex]
Substitute 45 for [tex]\theta[/tex]
[tex]\alpha + \alpha + 45 = 180[/tex]
Subtract 45 from both sides
[tex]\alpha + \alpha + 45 - 45= 180 - 45[/tex]
[tex]\alpha + \alpha = 135[/tex]
[tex]2\alpha = 135[/tex]
Divide both sides by 2
[tex]\alpha = 135/2[/tex]
[tex]\alpha = 67.5[/tex]
Hence:
The measure of the other angles is 67.5
