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In circle C, TL is a diameter, mICR = (3x + 5)°, and m/RCL = (x - 1)°.

1 Find the value of 'x
2 Find m/ICR.
3 Find mILR.

In circle C, TL is a diameter, mICR = (3x + 5)°, and m/RCL = (x - 1)°. 1 Find the-example-1
User Hudson
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1 Answer

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Answer: 1. Since TL is a diameter, we know that mICR + m/RCL = 90°. Substituting the given values, we get:

(3x + 5)° + (x - 1)° = 90°

Simplifying the equation, we get:

4x + 4 = 90

Solving for x, we get:

x = 22

Therefore, x = 22.

2. Since TL is a diameter, we know that mICR = 90°. Substituting the value of x, we get:

mICR = (3x + 5)° = (3 × 22 + 5)° = 71°

Therefore, mICR = 71°.

3. Since TL is a diameter, we know that mILR = 180° - mICR - m/RCL. Substituting the values of x, we get:

mILR = 180° - (3x + 5)° - (x - 1)° = 180° - 4x - 4°

Substituting the value of x, we get:

mILR = 180° - (4 × 22 + 4)° = 52°

Therefore, mILR = 52°.

Explanation:

User Renan Ferrari
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