Chapter 11, Problem 21SGR

To determine

To find the value of x.

Answer to Problem 21SGR

  $98°$

Explanation of Solution

Given Information: $(x+2)°,72°,90°$

Formula Used: Sum of all angles in a quadrilateral is $360°.$

Calculation:

  $(x+2)°+72°+x+90°=360°$

Adding all coefficients and values-

  $x+2°+72°+x+90°=360°$

This gives us-

  $2x+164°=360°$

Subtracting 164 from both sides-

  $2x=360°-164°$

Dividing both sides by 2-

  $x=\frac{196°}{2}$

Hence, final answer is-

  $x=98°$