find the missing angle measure. your answer

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is $180^{\circ}$. In a right - triangle, one angle is $90^{\circ}$.

Step2: Set up the equation

Let the missing angle be $x$. We have $x + 35^{\circ}+90^{\circ}=180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}-(90^{\circ} + 35^{\circ})$. $x = 180^{\circ}-125^{\circ}$. $x = 55^{\circ}$.

Answer:

$55^{\circ}$