Answer:
[tex]65°[/tex]
Step-by-step explanation:
You have an angle bisector at 50°, therefore having an isosceles triangle with two congruent sides and base angles, This is where we use the Triangular Interior Angles Theorem. We know that adding 130° to 50° gives us 180° altogether because the sum of the interior angles in a triangle always 180°. Now, onward with this:
[tex]50° + 130° = 180° \\ \\ 65° = \frac{130°}{2}[/tex]
Since we have TWO base angles, we must take half of 130° to get the measure of both angles separately.
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