To determine the measure of the second angle, we first need to understand that two angles are considered complementary if the sum of their measures is [tex]$90^{\circ}$[/tex].
Given that the first angle measures [tex]$35^{\circ}$[/tex], we need to find the measure of the second angle such that their total will be [tex]$90^{\circ}$[/tex].
Let's denote the measure of the second angle as [tex]\( x \)[/tex].
We can set up the following equation based on the definition of complementary angles:
[tex]\[ 35^{\circ} + x = 90^{\circ} \][/tex]
To find [tex]\( x \)[/tex], we need to isolate it by subtracting [tex]$35^{\circ}$[/tex] from both sides of the equation:
[tex]\[ x = 90^{\circ} - 35^{\circ} \][/tex]
By performing the subtraction:
[tex]\[ x = 55^{\circ} \][/tex]
Therefore, the measurement of the second angle is [tex]$55^{\circ}$[/tex].
So, the correct answer is:
B. [tex]$55^{\circ}$[/tex]
