Chapter 1.2, Problem 22PSC

To determine

To calculate:The value of XLr8r.

Answer to Problem 22PSC

The value of XLr8r is ${10}^{\circ }$ .

Explanation of Solution

Given information:

Ma and Mi were taking a stroll in A desert when a spaceship from M landed. Ma walked towards spaceship and said by pointing to Figure 1 “XLr8r, XLr8r, XLr8r plus YBcaws, YBcaws”.Ma pointing to Figure 2 said “YBcaws plus XLr8r XLr8r, XLr8r”.

Calculation:

  

Let $*=XLr8r$ and $\#=YBcaws$ .

Ma walked towards spaceship and said by pointing to Figure 1 “XLr8r, XLr8r, XLr8r plus YBcaws, YBcaws”.

  $3*+2\#={90}^{\circ }----Equation1$

Ma pointing to figure 2 said “YBcaws plus XLr8r XLr8r, XLr8r”.

  $3*+1\#={60}^{\circ }----Equation2$

Multiplying Equation 2 by -1, we get

  $-3*-1\#=-{60}^{\circ }----Equation3$

Adding Equation 1 and Equation 3, we get

  $\#={30}^{\circ }----Equation4$

Substituting Equation 4 in Equation 1, we get

  $\begin{array}{l}3*+\left(2\times {30}^{\circ }\right)={90}^{\circ }\\ 3*+{60}^{\circ }={90}^{\circ }\\ 3*={30}^{\circ }\\ \ast ={10}^{\circ }\end{array}$