Question:
Solution:
Remember that if we have a straight line, then:
According to the above diagram, we have that:
then, we have the following equation:
![25\text{ + 80 + x = 180 }](https://img.qammunity.org/2023/formulas/mathematics/college/sph2psrz4fvnz6hhm2h11jzms9ygs005k0.png)
this is equivalent to:
![105\text{ + x = 180}](https://img.qammunity.org/2023/formulas/mathematics/college/tiaherpzvhm4gcww36a2cmnfsio9f96udg.png)
solving for x, we get :
![x\text{ = 180 -105 = 75}](https://img.qammunity.org/2023/formulas/mathematics/college/x2vulwspfbv8trxnv1tf0qyciey43i4m5p.png)
thus, we have the following diagram:
then, we have the following equation:
![80\text{ + 75 + x = 180}](https://img.qammunity.org/2023/formulas/mathematics/college/6ousnyejgvdoixwl54son5y61v8xbo95af.png)
this is equivalent to:
![155\text{ + x = 180}](https://img.qammunity.org/2023/formulas/mathematics/college/cf0f0gafsgegmcxhbtph7v72pfics954rr.png)
solving for x, we get:
![x\text{ = 180 -155 = 25}](https://img.qammunity.org/2023/formulas/mathematics/college/2r8kz7oggrc9x6pvomyslb6zbffikfot86.png)
then, we can conclude that the correct answer is:
![x\text{ = 25}](https://img.qammunity.org/2023/formulas/mathematics/college/yo9d6iryss1zdw7j2a3opkd0qhrqo63t9c.png)