A. 82°
B. 59°
C. 82°
D. 51°
E. 59°
F. 51°
G. 129°
1. Angles 1 and 2 are supplementary. Solve for angle 1 by subtracting the given value for angle 2 from 180°.
7. Angles 2, 3, 7 are the interior angles of a triangle. Their sum is 180°. Subtract given values of 2 and 3 from 180° to find angle 7.
6. Angles 6, 7, 8 form a straight line so their sum is 180°. Subtract the measures of angle 7 and 8 from 180° to find angle 6.
9. Angles 6 and 9 are corresponding angles. They are congruent.
4. Angles 4, 8, 9 are the interior angles of a triangle. Their sum is 180°. Subtract the sum of angles 8 given value and the one we calculated for angle 9 from 180° to solve for angle 4.
10. Angle 9 and 10 are supplementary, their sum is 180°. Subtract the value found for angle 9 from 180° to solve for angle 10.
5. Angle 1 and 5 are same side exterior angles. They are congruent.
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WORK SHOWN IN ATTACHED PHOTO:
Sorry I’m on my phone so it’s hard to type all the symbols. It was easiest to write all the work out on paper. Hope it helps!