Chapter 8, Problem 11CUR

To determine

To calculate: the measure of each corresponding angle

Answer to Problem 11CUR

The measure of corresponding angle is $36°$

Explanation of Solution

Given Information: Two parallel lines are cut by a transversal and two corresponding angles have measures x²and 6x.

Formula used:

Corresponding angles between parallel lines are equal.

Calculation: Consider the two parallel lines cut by the transversal as shown below.

  

Here, the corresponding angles are as marked in the above figure. Since they are equal,

  $\begin{array}{l}{x}^2=6x\\ x^2-6x=0\\ x=0,x=6\end{array}$

Since x=0 is not a possible solution, the value of x is 6 .

Thus, the corresponding angles are

  $x^2=6x=36°$