Question

Directions:Find the measures of the missing angles in each trapezoid. Will give brainliest for full answer.Posted for the 4th time :(

Answer 1

Step-by-step explanation:

m<M=m<L=110°

m<N=m<O=x → 2x+2(110°)=360° → x=70°

m<E=180°-22°=158°

m<A=360°-(88°+22°+158°)= 92°

m<D=m<O=61°

m<S=m<G=x → 2x+2(61°)=360° → x=238/2 = 119°

Answer 2

Answer:

Step-by-step explanation:

1)∠L + ∠O = 180       {Co interior angles}

  110 + ∠O = 180

            ∠O = 180 - 110

            ∠O = 70

Base angles of isosceles trapezoid are equal

∠M = ∠L

∠M = 110

∠O = ∠N

∠N = 70

2) ∠c + ∠A = 180               {Co interior angles}

   88 + ∠A = 180

            ∠A = 180 -88

            ∠A = 92

∠D + ∠E = 180       {Co interior angles}

22 +∠E = 180

      ∠E = 180 - 22

      ∠E = 158

3)  ∠O + ∠G =  180           {Co interior angles}

   61 + ∠G = 180

         ∠G = 180 - 61

         ∠G = 119

Base angles of isosceles trapezoid are equal

∠D = ∠O

∠D = 61

∠S = ∠G

∠S = 119