Question

venation is the pattern of the veins in a leaf. some leaves have parallel venation. find the measure of the angles in the photo of the leaf. enter the correct numbers in the boxes. show hints m∠1=

Explanation:

Step1: Use the property of parallel lines and alternate - interior angles

Since the veins are parallel, \(\angle1\) and the \(62^{\circ}\) angle are alternate - interior angles. So, \(m\angle1 = 62^{\circ}\)

Step2: Use the property of supplementary angles

\(\angle1\) and \(\angle2\) are supplementary (they form a linear pair). So, \(m\angle2=180^{\circ}-m\angle1\)
Substitute \(m\angle1 = 62^{\circ}\) into the formula: \(m\angle2 = 180^{\circ}-62^{\circ}=118^{\circ}\)

Answer:

\(m\angle1 = 62^{\circ}\), \(m\angle2 = 118^{\circ}\)