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To find the measure of angle \( \angle A \) in this triangle, we can use the fact that the sum of the interior angles in any triangle is always \( 180^\circ \).

Given:
- \( \angle B = 75^\circ \)
- \( \angle C = 50^\circ \)

We can set up the equation:
\[
\angle A + \angle B + \angle C = 180^\circ
\]

Substituting the known values:
\[
\angle A + 75^\circ + 50^\circ = 180^\circ
\]

Combining the angles:
\[
\angle A + 125^\circ = 180^\circ
\]

Subtracting \( 125^\circ \) from both sides:
\[
\angle A = 180^\circ - 125^\circ = 55^\circ
\]

So, the measure of \( \angle A \) is:
\[
\boxed{55^\circ}
\]

Would you like further explanation or have any questions?

Here are 5 related questions to deepen understanding:
1. What are the properties of the angles in an equilateral triangle?
2. How would you calculate an unknown angle in a quadrilateral?
3. How does the sum of interior angles change with the number of sides in a polygon?
4. How can you identify if a triangle is acute, obtuse, or right-angled based on its angle measures?
5. How does the exterior angle of a triangle relate to the opposite interior angles?

**Tip:** Remember, the sum of the interior angles of a triangle is always \( 180^\circ \), which is helpful for solving unknown angles.

Solve for m∠A in the triangle where ∠B = 75° and ∠C = 50°.

Find the measure of angle A in a triangle where angles B and C are given as 75° and 50° respectively. This problem demonstrates the application of the Triangle Angle Sum Theorem and is ideal for students in Grades 6-8.

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