△RST ∼ △XYZ. m∠R = 18°, m∠S = 75°. What are the measures of angles X, Y, and Z
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Since △RST ∼ △XYZ, we know that the corresponding angles of the triangles are congruent.
Therefore, m∠X = m∠R = 18°.
Also, m∠Y = m∠S = 75°.
Since the sum of the interior angles in a triangle is 180°, we can find the measure of angle Z by subtracting the sum of angles X and Y from 180°.
m∠Z = 180° - (m∠X + m∠Y)
= 180° - (18° + 75°)
= 180° - 93°
= 87°
Therefore, the measures of angles X, Y, and Z are 18°, 75°, and 87°, respectively.