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problem 7: spiral review determine the missing angle measure in the rig…

Question

problem 7: spiral review determine the missing angle measure in the right triangle. show or explain your thinking.

Explanation:

Step1: Recall angle - sum property of triangle

The sum of the interior angles of a triangle is 180°. In a right - triangle, one angle is 90°. Let the missing angle be $x$.

Step2: Set up the equation

We know that $25^{\circ}+90^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

First, simplify the left - hand side: $115^{\circ}+x = 180^{\circ}$. Then, subtract 115° from both sides: $x=180^{\circ}-115^{\circ}$. So, $x = 65^{\circ}$.

Answer:

$65^{\circ}$