∠1 is a complement of ∠2, and m∠1 = 23°.
Find m∠2.

Two angles are considered complementary if their measures add up to \(90^\circ\). Given that ∠1 is a complement of ∠2, we have:

\[
m∠1 + m∠2 = 90^\circ
\]

Given that \(m∠1 = 23^\circ\), we can substitute this into the equation:

\[
23^\circ + m∠2 = 90^\circ
\]

Now, solve for \(m∠2\):

\[
m∠2 = 90^\circ - 23^\circ = 67^\circ
\]

### Conclusion:
\[
m∠2 = 67^\circ
\]

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

Here are 5 related questions for further practice:

1. If ∠3 is a complement of ∠4 and \(m∠3 = 45^\circ\), what is \(m∠4\)?
2. If ∠A is a supplement of ∠B, and \(m∠A = 110^\circ\), what is \(m∠B\)?
3. What is the difference between complementary and supplementary angles?
4. If ∠X and ∠Y are complementary, and \(m∠X = (2x + 5)^\circ\) and \(m∠Y = (3x - 15)^\circ\), what is the value of \(x\)?
5. Two angles are complementary, and one angle is four times the other. What are the measures of the two angles?

**Tip:** Remember that complementary angles always add up to \(90^\circ\), while supplementary angles add up to \(180^\circ\).

∠1 is a complement of ∠2, and m∠1 = 23°. Find m∠2.

Discover how to find the measure of a complementary angle when one angle is given as 23°. This solution explains the concept of complementary angles and uses the formula m∠1 + m∠2 = 90°. Ideal for students in Grades 6-8.

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