Answer:

ssibilities:

Option 1:

If we know that ∠C and ∠R are complementary angles (meaning they add up to 90°), then we can set up the equation:

∠C + ∠R = 90°

Substituting in the given values, we get:

45° + 9x° = 90°

Subtracting 45° from both sides, we get:

9x° = 45°

Dividing both sides by 9, we get:

x = 5°

Therefore, if ∠C and ∠R are complementary angles, then x = 5°.

Option 2:

If we do not know that ∠C and ∠R are complementary angles, then we cannot use the equation above. However, we can use the fact that the sum of angles in a triangle is 180°. If we assume that ∠C and ∠R are angles in a triangle with a third angle ∠T, then we can set up the equation:

∠C + ∠R + ∠T = 180°

Substituting in the given values and simplifying, we get:

45° + 9x° + ∠T = 180°

Subtracting 45° + 9x° from both sides, we get:

∠T = 135° - 9x°

Since ∠T is an angle in a triangle, it must be positive. Therefore, we can set up the inequality:

135° - 9x° > 0

Solving for x, we get:

x < 15°

Therefore, if we assume that ∠C and ∠R are angles in a triangle with a third angle ∠T, then x must be less than 15°.