Answer:
Explanation:
You want to find the value of x, given that supplementary angles are 83° and (12x+1)°.
Step 1
The two angles shown are supplementary, so their sum is 180°:
![83^\circ+(12x+1)^\circ=\boxed{180}^\circ](https://img.qammunity.org/2023/formulas/mathematics/college/xtyy6ridm5xnz5qbhmswze9zmfjog9s4n9.png)
Step 2
Simplifying the expression by combining like terms and dividing by °, we have ...
![12x +\boxed{84}=\boxed{180}](https://img.qammunity.org/2023/formulas/mathematics/college/b7hknjr8ukxd2qgz1mh8in5lzcb7z5imep.png)
Step 3
Subtracting 84 from both sides gives ...
![12x=\boxed{96}](https://img.qammunity.org/2023/formulas/mathematics/college/oly4y83qdzwzdbuyt5934xws4vg6kg89tf.png)
Step 4
Dividing both sides by 12, we get ...
![x=\boxed{8}](https://img.qammunity.org/2023/formulas/mathematics/college/grvyj8qhh7ypie504qnm6r32mqrwojnav0.png)