Chapter E, Problem 2.6EX

To determine

To Find:

The angle of $\angle 1$ and $\angle 4$ .

Answer to Problem 2.6EX

The angle of $\angle 1$ and $\angle 4$ is option (a) supplementary.

Explanation of Solution

Given information:

If $\angle 1$ and $\angle 2$ are complementary angles, $\angle 2$ and $\angle 3$ are complementary angles, $\angle 3$ and $\angle 4$ are supplementary angles.

If $\angle 1$ and $\angle 2$ are complementary angles,

Then

  $\angle 1+\angle 2={90}^{\circ }$

If $\angle 2$ and $\angle 3$ are complementary angles,

Then

  $\angle 2+\angle 3={90}^{\circ }$

If $\angle 3$ and $\angle 4$ are supplementary angles,

Then

  $\angle 3+\angle 4={180}^{\circ }$

The $\angle 1$ and $\angle 4$ is supplementary angle.

Therefore, the angle of $\angle 1$ and $\angle 4$ is option (a) supplementary.