Chapter 6.4, Problem 55HP

To determine

To find: the value of $y$ from the figure given below.

Answer to Problem 55HP

  $y={95}^0$ .

Explanation of Solution

Given:

  $x={35}^0$ and $z={50}^0$ .

  

Concept used:

The sum of the three angles of the triangle is always ${180}^0$ .

Vertical angles are always same.

Calculation:

According to the given:

  $x={35}^0$ and $z={50}^0$ .

The value of $y$ is:

Due to vertical angle are equal to each other the angle of the triangle form by three line after intersection are:

  $x,y\text{ and }z$ .

Since sum of the three angles of the triangle is always ${180}^0$ .

  $\begin{array}{l}x+y+z={180}^0.\\ 35+y+50={180}^0.\\ y={95}^0.\end{array}$

Hence,.