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# How to solve this exercise in order to find x?

### 6 Answers

- Pramod KumarLv 74 hours ago
Extend O₁C to D so that it intersects BO₂ in D.

Angle AO₁C = Angle O₂DO₁ = 52 degree ............... Alternate angles

Angle O₁CD = Angle O₁CO₂ + Angle O₂CD being linear pair

=> 180 degree = 70 degree + Angle O₂CD

=> Angle O₂CD = 180 - 70 = 110 degree.

Now consider Triangle CO₂D :

Som of all the interior angles = 180 degree

=> 110° + 52° + x = 180°

=> x = 70 - 52 = 18° ................................. Answer

- 16 hours ago
18°. Extend the exterior sides of the 70° angle until they meet the parallel lines. Solve for x.

- stanschimLv 71 day ago
x = 18 degrees.

This is found by extending the line above the angle x to the line A. This forms a triangle. One of the angles is given as 52 degrees. One of the angles is supplementary to 70 degrees; therefore it is 110 degrees. The other angle is 18 degrees and is an alternate interior angle congruent to x.

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- nbsale (Freond)Lv 61 day ago
Extend line O1 to line BO2.

Now you can easily determine 2 of the angles in the triangle, and x = 180 - sum of those 2.

- billrussell42Lv 71 day ago
are those two lines parallel? you don't say, but without that, this cannot be solved.

If they are, then

x = 180–110–52 = 18º

in more detail, draw line O₁DE, then CE

angle DEC = 90–52 = 38º

angle O₂DE = 180–70 = 110

angle O₂ED = 90–38 = 52

angle x = 180–110–52 = 18º