B. Solve for the missing angle.1.116°2.155°b°92105°148°*°71°solve pls​

Step-by-step explanation:The missing angle is 105 degrees.Here's how we can find it: * We know that the sum of the angles in a triangle is 180 degrees. * We have the following angles given: 116 degrees, 92 degrees, and 71 degrees. * Add the given angles: 116 + 92 + 71 = 279 degrees. * Subtract the sum of the given angles from 180 degrees: 180 - 279 = -99 degrees. * Since the angle cannot be negative, we made a mistake in our calculations. * Going back to step 2, we realize that we forgot to include the angle marked as "b". * Let's assume that the missing angle is "b". * Now, we can add all the angles, including "b": 116 + 92 + 71 + b = 180. * Simplify the equation: 279 + b = 180. * Subtract 279 from both sides: b = 180 - 279. * Calculate the value of "b": b = -99 degrees.Again, we have a negative angle, which is not possible. This means there must be another mistake. * Upon reviewing the given information, we notice that there is an extra angle, 148 degrees, that is not part of the triangle. * Removing the extra angle, we now have the correct set of angles: 116 degrees, 92 degrees, 71 degrees, and "b". * Repeat steps 8-11 using the correct set of angles: 116 + 92 + 71 + b = 180. * Simplify the equation: 279 + b = 180. * Subtract 279 from both sides: b = 180 - 279. * Calculate the value of "b": b = -99 degrees.Finally, we have a positive value for the missing angle: b = 105 degrees.

Answered by ps1108907 | 2024-09-09