Question

Help please

If m < 1 = 3x – 15 and m < 3 = 5x – 81, use the diagram below to find the measures of the missing angles. Choose the symbol that best completes the comparison of the two quantities.

Answer 1

Angles 1 and 3 are vertical angles which means that they are equal. 
                            3x - 15 = 5x - 81
                                  x = 33
The measure of angle 3 is equal to 5(33) - 81 = 84°. The missing angles written in red have relationship with angle 3 in such that,
                              (x + 27) + (x + 3) + 84 = 180   ; x = 33. 
Thus, the angles are 60° and 36°, respectively.