Answer:
[tex]x=55 \textdegree[/tex]
[tex]y=35 \textdegree[/tex]
Step-by-step explanation:
From the question we are told that
Sum of two angle =90
First angle is 15 less than twice the measure of the second angle.
Generally interpreting mathematically we have
Let x be the first angle and second angle y
[tex]x=2y-15[/tex]
Therefore
[tex]2y-15 +y=90[/tex]
[tex]3y=105[/tex]
[tex]y=\frac{105}{3}[/tex]
[tex]y=35 \textdegree[/tex]
Therefore
[tex]x+35=90[/tex]
[tex]x=90-35[/tex]
[tex]x=55\textdegree[/tex]
