The measure of an angle is 30 degree less than the measure of its supplement find the measure of angle

Let's solve the problem step by step.

### Given:
- The measure of an angle is 30 degrees less than the measure of its supplement.

### Let:
- The measure of the angle be \( x \) degrees.
- The measure of its supplement be \( 180^\circ - x \).

### According to the problem:
\[ x = (180^\circ - x) - 30^\circ \]

### Solve for \( x \):
1. Start by expanding the equation:
   \[ x = 180^\circ - x - 30^\circ \]

2. Combine like terms:
   \[ x + x = 180^\circ - 30^\circ \]
   \[ 2x = 150^\circ \]

3. Solve for \( x \):
   \[ x = \frac{150^\circ}{2} \]
   \[ x = 75^\circ \]

### Conclusion:
The measure of the angle is \( 75^\circ \).

Would you like more details, or do you have any questions?

Here are 5 related questions to explore further:
1. What is the measure of the supplement of a 75-degree angle?
2. If an angle is 45 degrees less than its supplement, what is the measure of the angle?
3. How do you find the complement of an angle?
4. What is the relationship between complementary and supplementary angles?
5. If the sum of two angles is 180 degrees, what can you say about the angles?

**Tip:** Remember, supplementary angles always add up to 180 degrees!

Learn how to find the measure of an angle that is 30 degrees less than its supplement with a step-by-step solution. This problem involves understanding supplementary angles and solving linear equations. Suitable for students in Grades 7-9.

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