Answer:
∠ R = 58° , ∠ Q = 32°
Step-by-step explanation:
Complementary angles sum to 90°
∠ Q is 26° less than ∠ R , so ∠ Q = ∠ R - 26° , then
∠ Q + ∠ R = 90° , that is
∠ R - 26° + ∠ R = 90°
2 ∠ R - 26° = 90° ( add 26° to both sides )
2 ∠ R = 116° ( divide both sides by 2 )
∠ R = 58°
∠ Q = 58° - 26° = 32°
