Question

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the figure shows three intersecting lines. lines g and h are perpendicular.
how are ∠1 and ∠2 related?
complete the equation.
when the measures of two angles sum to 90°, they are complementary. ∠1 and ∠2 are complementary angles.
m∠1 = 55°. what is m∠2?

Explanation:

Step1: Use the complementary angles relationship

Since \(m\angle1 + m\angle2=90^{\circ}\) (complementary angles) and \(m\angle1 = 55^{\circ}\).

Step2: Solve for \(m\angle2\)

We can use the formula \(m\angle2=90^{\circ}-m\angle1\). Substitute \(m\angle1 = 55^{\circ}\) into the formula: \(m\angle2=90^{\circ}- 55^{\circ}\).

$$m\angle2 = 35^{\circ}$$

Answer:

\(35\)