Chapter 1.5, Problem 25PPS

To determine

To calculate the value of angles

Answer to Problem 25PPS

  $\angle E=117$ and $\angle F=63$

Explanation of Solution

Given information:

  $\angle F$ and $\angle E$ are supplementary.

Value of E is 54 more than F.

Let the value of $\angle F$ be “ $x$ ”

Hence, value of $\angle E$ is “ $54+x$ ”

Substituting the values,

  $x+54+x=180$

So,

  $2x+54=180$

Shifting the values,

  $2x=126$

On solving,

  $x=63$

Hence,

  $\angle F=63$

And

  $\angle E=63+54$

So,

  $\angle E=117$

Hence, $\angle E=117$ and $\angle F=63$