https://file.aiquickdraw.com/mathbot/file/1724873134251novquadd.jpg

state the angle relationship name and find
m∠a.

Type the value of
a into the response box.

The image shows two lines forming an angle, with one labeled \( 70^\circ \), and a right angle marked between the horizontal line and the vertical line. The angle \( a \) is located between the vertical line and the diagonal line forming the 70-degree angle with the horizontal axis.

### Step 1: Identify the Relationship
The two angles \( 70^\circ \) and \( a \) are complementary angles because they sum up to \( 90^\circ \). This is indicated by the right-angle mark, which tells us that the total angle between the vertical and horizontal axes is \( 90^\circ \).

### Step 2: Solve for \( a \)
To find the measure of angle \( a \), use the complementary angle relationship:
\[
a + 70^\circ = 90^\circ
\]
Subtract \( 70^\circ \) from both sides:
\[
a = 90^\circ - 70^\circ = 20^\circ
\]

### Final Answer:
The measure of angle \( a \) is \( 20^\circ \).

Do you have any questions or would you like more details?

### Related Questions:
1. What is the sum of all angles in a triangle?
2. What is the complementary angle of \( 35^\circ \)?
3. How do you classify angles based on their measures?
4. What is the difference between complementary and supplementary angles?
5. How can you determine angles using trigonometric functions?

### Tip:
When dealing with complementary angles, remember that they always add up to \( 90^\circ \), and this rule is particularly useful in problems involving right triangles or perpendicular lines.

Explore how to find the measurement of angle a, which is complementary to a 70-degree angle. This problem involves understanding complementary angles and applying basic geometric principles. Suitable for Grades 6-8.

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