Question

Find the value of x and z in the image above​

Answer 1

x = 31.5° and z = 63°

Explanation:

Given:

Line AB intersects line AB

Given angle = 117°

Now a linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.

hence we can say,

`2x+117= 180\°\\2x=180\°-117\°\\2x=63\°\\x=(63)/(2)=31.5\°`

Also,

`z+117\°=180\°\\z=180\°-117\°\\z=63\°`

Hence x = 31.5° and z = 63°