Vertically opposite angles are equal. Therefore, the vertically opposite angle also measures 50 degrees.

Adjacent angles formed by a transversal are supplementary, so the adjacent angle is 180° - 55° = 125°.

Alternate interior angles are equal, so the other angle is also 35 degrees.

Alternate interior angles are equal, so the other angle also measures 35 degrees.

Alternate interior angles are equal when two parallel lines are cut by a transversal. Thus, the other alternate interior angle also measures 85 degrees.

Corresponding angles are equal when two parallel lines are cut by a transversal. Therefore, the other corresponding angle also measures 50 degrees.

Corresponding angles are equal, so the other corresponding angle also measures 75 degrees.

Adjacent interior angles are supplementary, so the adjacent angle measures 125 degrees.

The exterior angle is supplementary to the interior angle, so 180 - 30 = 150 degrees.

Corresponding angles are equal when two parallel lines are cut by a transversal. Thus, the corresponding angle also measures 120 degrees.

Adjacent interior angles are supplementary, so the adjacent angle = 180 - 75 = 105 degrees.

Corresponding angles are equal when two parallel lines are cut by a transversal. Therefore, the corresponding angle also measures 120 degrees.

The corresponding angle is equal to the interior angle, so it measures 45 degrees.

The corresponding exterior angle is supplementary to the interior angle. Therefore, it measures 180 - 40 = 140 degrees.

Adjacent interior angles are supplementary, so the adjacent angle measures 105 degrees.

Same-side interior angles are supplementary, so 180 - 45 = 135 degrees.

The area of a trapezoid is given by the formula: Area = (1/2) * (base1 + base2) * height. Here, Area = (1/2) * (10 + 6) * 4 = 32 cm².

The area of a trapezoid is given by the formula: Area = (1/2) * (b1 + b2) * h. Here, b1 = 10 cm, b2 = 6 cm, and h = 4 cm. Area = (1/2) * (10 + 6) * 4 = 32 cm².

The average length of the bases is calculated as (10 cm + 6 cm) / 2 = 8 cm.

The length of the midsegment of a trapezoid is the average of the lengths of the bases: (10 cm + 6 cm) / 2 = 8 cm.

The area of a trapezoid is given by the formula (1/2) * (base1 + base2) * height. Thus, the area is (1/2) * (8 cm + 12 cm) * 5 cm = 50 cm².

The area of a trapezoid is given by the formula: Area = (1/2) * (b1 + b2) * h. Here, b1 = 10 cm, b2 = 6 cm, and h = 4 cm. Area = (1/2) * (10 + 6) * 4 = 32 cm².

The area of a trapezoid is given by the formula: Area = 1/2 × (base1 + base2) × height. Thus, Area = 1/2 × (8 + 12) × 5 = 50 cm².

The area of a trapezoid is given by the formula: Area = 1/2 × (base1 + base2) × height. Thus, Area = 1/2 × (8 + 5) × 4 = 26 cm².

The area of a trapezoid is calculated using the formula (1/2) * (base1 + base2) * height. Area = (1/2) * (10 cm + 6 cm) * 4 cm = 32 cm².

The length of the midsegment of a trapezoid is the average of the lengths of the two parallel sides. Therefore, midsegment = (8 cm + 12 cm) / 2 = 10 cm.

The area of a trapezoid is calculated using the formula (1/2) × (base1 + base2) × height. Here, area = (1/2) × (8 cm + 5 cm) × 4 cm = 26 cm².

The area of a trapezoid is calculated using the formula: Area = (1/2) × (b1 + b2) × height. Here, Area = (1/2) × (8 cm + 5 cm) × 4 cm = 26 cm².

The length of the midsegment of a trapezoid is the average of the lengths of the two parallel sides. Therefore, (8 cm + 5 cm) / 2 = 6.5 cm.

The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - (50 + 60) = 70 degrees.