Question

Question
Two angles, ∠1
∠
1
and ∠2
∠
2
, in a diagram are complementary. If m∠2=26°
𝑚
∠
2
=
26
°
, what equation can you write to solve for m∠1
𝑚
∠
1
?(1 point)
m∠1+
𝑚
∠
1
+
°=
°
=
°

Answer 1

Since the angles ∠1 and ∠2 are complementary, this means that their measures add up to 90 degrees. You are given that \( m∠2 = 26° \).

You can set up the equation as follows:

\[
m∠1 + m∠2 = 90°
\]

Substituting \( m∠2 \) with 26°, the equation becomes:

\[
m∠1 + 26° = 90°
\]

To solve for \( m∠1 \), subtract 26° from both sides:

\[
m∠1 = 90° - 26°
\]

This simplifies to:

\[
m∠1 = 64°
\]

So the equation you would write to solve for \( m∠1 \) is:

\[
m∠1 + 26° = 90°
\]