Angle A in an inverted right-angle triangle where angle B is 90° and angle C is 38° can be found by subtracting the sum of the known angles from 180°, resulting in Angle A (angle 1) measuring 52°.
Step-by-step explanation:
To find the measurement of angle A in an inverted right-angle triangle ABC, with Angle B being 90° and Angle C being 38°, we use the fact that the sum of all angles in a triangle equals 180°.
Here's the step-by-step process:
Sum of angles in a triangle = 180°
Angle A (angle 1) + Angle B + Angle C = 180°
Angle A (angle 1) + 90° + 38° = 180°
Angle A (angle 1) = 180° - 90° - 38°
Angle A (angle 1) = 52°
Therefore, the measurement of angle A (angle 1) is 52°.