Answer:
![\huge{ \boxed{ \sf{10°}}}](https://img.qammunity.org/2021/formulas/mathematics/high-school/hb8ysd205vo80vkyc19lxnq2nwltjdh5zd.png)
Explanation:
x + 40 is an exterior and 130 ° is an interior angle lying to the same side of the transversal and they are not adjacent to each other. They are called corresponding angles. Remember that Corresponding angles are always equal. So now , set up an equation and solve for x.
![\sf{x + 140 = 130}](https://img.qammunity.org/2021/formulas/mathematics/high-school/g0ebg1t7tj50zehv486npwy72i3pd3ovl3.png)
Move 140 to right hand side and change it's sign
![\mapsto{ \sf{x = 130 - 140}}](https://img.qammunity.org/2021/formulas/mathematics/high-school/pq4e1fasadnetyupwykyby73exueehg7ge.png)
Remember: The negative and positive integer are always subtracted but posses the sign of the bigger integer.
![\mapsto{ \sf{x = - 10}}](https://img.qammunity.org/2021/formulas/mathematics/high-school/px5syp7i4wnwqnqauccaxoh4wdce5cdh7v.png)
The value of x is -10°.
Hope I helped!
Best regards! :D
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![\text{TheAnimeGirl}](https://img.qammunity.org/2021/formulas/physics/high-school/884q6s1jo5rnx07c4rd6z31z5vovdmw2xc.png)