Question

extra practice level up your skills! mixed proofs 3. helicopter pad a local hospital builds a new helicopter pad as shown. if ( m angle 1 = 43 ^ { circ } ), what is ( m angle 2 ) ? 4. flags the alabama state flag is white and has two diagonal red stripes. if ( m angle 1 = 112 ^ { circ } ), what is ( m angle 2 ) ?

Explanation:

Step1: Analyze the relationship between angles

In a plane, if two lines intersect, the sum of adjacent angles is \(180^{\circ}\). Here, \(\angle1\) and \(\angle2\) are adjacent angles formed by the intersection of two lines.

Step2: Calculate \(m\angle2\)

We know that \(m\angle1 + m\angle2=180^{\circ}\). Given \(m\angle1 = 43^{\circ}\), then \(m\angle2=180^{\circ}-m\angle1\). Substitute \(m\angle1 = 43^{\circ}\) into the formula: \(m\angle2 = 180^{\circ}- 43^{\circ}\).

$$m\angle2=137^{\circ}$$

Answer:

\(m\angle2 = 137^{\circ}\)