Question

Please help 50 points.

Answer 1

53° and 47° angled arcs are vertical pairs

• m<1=1/2(47+53)=50°

<1 and <2 are linear pair

m<2=180-50=130°

Answer 2

• 50° and 130°

Explanation:

∠1 with 53° arc measure is vertical pair with 47° arc:

• m∠1 = 1/2(53° + 47°) = 1/2(100°) = 50°

∠1 and ∠2 are forming a straight line:

• m∠2 = 180° - 50° = 130°