The sum of the interior angles of each polygon is 360°. In the diagram ABCD=HGEF find the values of x and y look at photo below

x = 3

y = 60°

Step-by-step explanation:

The given parameters of the figures are;

The sum of the interior angles of each polygon (quadrilaterals) = 360°

Quadrilateral ABCD = Quadrilateral HGEF

∴ ABCD ≅ HGEF

Therefore;

Segment AB ≅ Segment HG, by Corresponding Sides of congruent polygons are congruent

∴ The length of segment AB = 3 ft. = The length of segment HG = x ft.

∴ 3 ft. = x ft.

x = 3

Similarly, we have;

∠A + ∠B + ∠C + ∠D = 360° Given

∠B = 100°, and ∠D = 70° Given

∴ ∠A + ∠C = 360° - (∠B + ∠D) = 360° - (100° + 70°) = 190°

∠A + ∠C = 190°

∠A ≅ ∠G and ∠C ≅ ∠E Corresponding angles of congruent polygons are congruent

∴ ∠A = ∠G and ∠C = ∠E By definition of congruency

∴ ∠A + ∠C = ∠G + ∠E = 190° by transitive property

∠G = (2·y + 2)°, and ∠E = (y + 8)° Given

∴ ∠G + ∠E = (2·y + 2)° + (y + 8)° = (3·y + 10)° = 190°

3·y = 190° - 10° = 180°

y = 180°/3 = 60°

y = 60°

a) justify

step-by-step explanation:

justifying is just part of everyday life. justify kind of means proof so i think the answer is a) justify.

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42