Answer:

1. 120°

Explain: If the angles of an isosceles trapezoid are consecutive, it means that the two angles are supplementary.

Solution:

∠C + ∠D = 180°

60° + ∠D = 180°

∠D = 180° - 60°

∠D = 120°

2. 22

Explain: The figure is an isosceles trapezoid so its diagonals are congruent.

Solution:

KM ≅ JL

22 = 22

3. 11

Explain: The median of trapezoid must be the half of the sum of the bases.

Solution:

AB = 11

4. m∠Y = 117°

  m∠Z = 117°

Explain: If a polygon has 4 sides, it means that its sum of interior angles is equal to 360°.

Solution:

∠W + ∠X+ ∠Y+ ∠Z = 360°

36° + 90° + ∠Y + ∠Z = 360°

126° + ∠Y + ∠Z = 360°

∠Y + ∠Z = 360 - 126

∠Y + ∠Z = 234

We need to divide 234 into 2 so we can distribute the value of ∠Y and ∠Z.

234 / 2 = 117

5. ∠R = 128°

    ∠S = 128°

The opposite angle and the consecutive angle in the isosceles trapezoid will be supplementary and will be equal to 180°.

Solution:

∠O + ∠R = 180°

52 + ∠R = 180

∠R = 180 - 52

∠R = 128°

∠O + ∠S = 180°

52° + ∠S = 180°

∠S = 180°

Step-by-step explanation:

Answer:

1. 54°

2. 155°

3. 75°

4. m∠d=55°

m∠e=125°

Step-by-step explanation:

1. 90-56

2. 180-25

3. 180-65-40

4. opposite angles are equal, 180-55