Chapter 1.5, Problem 26PPS

To determine

To calculate the value of the angles

Answer to Problem 26PPS

  $\angle 1=126$ and $\angle 2=54$

Explanation of Solution

Given information:

  $\angle 1$ and $\angle 2$ are supplementary.

Value of 2 is 72 less than 2.

Let the value of $\angle 1$ be “ $x$ ”

Hence, value of $\angle 2$ is “ $x-72$ ”

Substituting the values,

  $x+x-72=180$

So,

  $2x-72=180$

Shifting the values,

  $2x=180+72$

On solving,

  $2x=252$

On solving,

  $x=126$

Hence,

  $\angle 1=126$

And

  $\angle 2=126-72$

So,

  $\angle 2=54$

Hence, $\angle 1=126$ and $\angle 2=54$