Use the figure to find the measures of the numbered angles?

61 degrees = angles 1, 3, 6
119 degrees = angles 2, 4, 5, 7

The red angle is vertical to angle 6. Since vertical angles are congruent, angle 6 = 61.

The red angle corresponds to angle 1, and angle 6 corresponds to angle 3. Since corresponding angles are congruent, angle 1 and angle 3 = 61.

The red angle and angle 4 are consecutive interior angles, which are supplementary. So 180 - 61 means angle 4 is 119.

4 and 2 are vertical so angle 2 is 119

4 and 7 are corresponding and 2 and 5 are corresponding so 7 and 5 are 119.

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)