Question

Can someone please help me with this

Answer 1

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°