Chapter 1.5, Problem 40PPS

To determine

To evaluate the given statement

Answer to Problem 40PPS

  $\angle 3+\angle 6\cong \angle 5$ is true

Explanation of Solution

Given information:

  

Formula used:

Congruent angles.

Calculation:

Concluding from the given figure,

  $\angle 3+\angle 6+\angle 5=180$

On substituting the values,

  $\angle 3+\angle 6+90=180$

On solving,

  $\angle 3+\angle 6=90$

Hence,

  $\angle 3+\angle 6=\angle 5$

Therefore,

  $\angle 3+\angle 6\cong \angle 5$