Question

1. why is $(\angle1+\angle3)+\angle2 = 180^{circ}$ they are complementary they are adjacent they are a linear pair consecutive interior angles are supplementary

Explanation:

Step1: Recall the definition of a linear pair

A linear pair of angles is formed when two adjacent angles form a straight line. The sum of angles in a linear pair is \(180^{\circ}\).

Step2: Analyze the given angles

Here, \((\angle1+\angle3)+\angle2\) forms a linear - pair (since \(DCE\) is a straight line and \(\angle DCA=\angle1\), \(\angle ECB = \angle2\) and \(\angle3\) is between them).

Answer:

They are a Linear Pair