Answer: m∠10 = 97°
Explanation:
First, we will add the angle measurements that we know to the picture. See attached.
Next, a line is equal to 180 degrees (in our case, these are supplementary angles). We can use this to solve for angle 16. 180° - 129° = 51°, so m∠16 = 51°.
Now, a triangle's interior angles add up to 180 degrees. We can use this to solve for angle 11. 180° - 46° - 51° = 83°, so m∠11 = 83°.
Lastly, we can use supplementary angles again. m∠11 and m∠10 will equal 180 degrees when added to each other. 180° - 83° = m∠10, so m∠10 = 97°.