Chapter 1.5, Problem 32PPS

To determine

To calculate the value of angle

Answer to Problem 32PPS

  $\angle KNJ=94$ , $\angle KNL=43$ , $\angle JNP=43$

Explanation of Solution

Given information:

  

  $\angle JNP=2x+3$

  $\angle KNL=3x-17$

  $\angle KNJ=3x+34$

Concluding from the figure,

  $\angle JNP+\angle KNL+\angle KNJ=180$

Substituting the values,

  $2x+3+3x-17+3x+34=180$

On solving,

  $8x+20=180$

Shifting the values,

  $8x=180-20$

So,

  $8x=160$

On solving,

  $x=20$

For $\angle JNP$ , substituting the values

  $\angle JNP=2(20)+3$

On solving,

  $\angle JNP=43$

For $\angle KNL$ , substituting the values

  $\angle KNL=3(20)-17$

On solving,

  $\angle KNL=43$

For $\angle KNJ$ , substituting the values

  $\angle KNJ=3(20)+34$

On solving,

  $\angle KNJ=94$