Chapter 1.5, Problem 35PPS

To determine

To evaluate the given statement

Answer to Problem 35PPS

Values of a is 8 and b is 54

Explanation of Solution

Given information:

WX and YZ intersect at point V.

  $\angle WVY=4a+58$

  $\angle XVY=2b-18$

WX is perpendicular to YZ.

Calculation:

Since, WX is perpendicular to YZ.

Therefore,

  $\angle WVY=90$ and

  $\angle XVY=90$

For $\angle WVY$ , substituting the value,

  $4a+58=90$

Shifting the values,

  $4a=90-58$

On solving,

  $4a=32$

On solving,

  $a=8$

For $\angle XVY$ , substituting the value,

  $2b-18=90$

Shifting the values,

  $2b=90+18$

On solving,

  $2b=108$

On solving,

  $b=54$

Hence, values of a is 8 and b is 54