Question

Given the figure below find the values of x and z

Answer 1

Use vertical opposite angle, which means angle z equals to the opposite angle, which makes it 71° and since all together those 4 angles make 360, we can just minus 71 x 2 from 360, and divide the result by 2 to get 12x + 61, and it should be 109, just do the simple algebra, and x should be 4.

Answer 2

z = 71°, x = 4° .

Explanation:

Given : Figure with two intersecting lines.

To find : find the values of x and z

Solution : We have given two intersecting line with angle 71° and z and 12x + 61.

Opposite angles are equal : When to lines intersect they create four angles. Each angle is opposite to another and form a pair of what are called opposite angles.

So , 71° and z both are vertically opposite angle

Then , z = 71°.

Here, angle z and 12x + 61 are adjacent angle .

Sum of two adjacent angle are 180.

z + 12x + 61 = 180 .

Plug the value z = 71°.

71 + 12 x + 61 = 180 .

12x + 132 = 180 .

On subtracting both sides by the 132 .

12 x = 180 -132 .

12x = 48.

On dividing both sides by 12

x = 4° .

Therefore , z = 71°, x = 4° .