Answer:
∠ A ≅ ∠ E
∠ K = 60°
Step-by-step explanation:
Part 1.
Given that ABCD ≅ EFGH.
Whenever a quadrilateral is congruent to another, and we write the congruency in symbol, then the order of congruency with respect to angles and sides are maintained in the symbol.
That means if ABCD ≅ EFGH, then ∠ A ≅ ∠ E, ∠ B ≅ ∠ F and so on.
Therefore, in this case, ∠ A ≅ ∠ E (Answer) {It is also shown in the diagrams}
Part 2.
Given that, Δ EFG ≅ Δ KLM
Hence, ∠ E ≅ ∠K, ∠ F ≅ ∠ L, and ∠ G ≅ ∠ M
It is also given that ∠ F = 35° and ∠ G = 85°
So, ∠ E = 180° - ∠ F - ∠ G = 180° - 85° - 35° = 60°
Since, ∠ E = ∠ K,
So, ∠ K = 60°. (Answer)
Answer:
8.4
Step-by-step explanation:
<u>Step 1: Set the value of x to 1.4</u>
2x + 5.6
2(1.4) + 5.6
2.8 + 5.6
8.4
Answer: 8.4
Answer:
B on e2020/edge
Step-by-step explanation:
2/3 = 9/y
cross multiply
2y = 9 * 3
2y = 27
y = 27/2
y = 13.5 or 13 1/2
Answer:
Area of the shaded area = 60 m^2
Step-by-step explanation:
Remark
I don't think you need the 40 degrees for anything.
Formula
Area of Shaded part = area of the rectangle - area of the triangle
Solution
<u>Area of the Rectangle</u>
L = 12 meters
W = 10 meters
Area = 12 * 10
Area = 120 m^2
<u>Area of the triangle</u>
Area = 1/2 b * h
b = 12
h = 10
Area = 1/2 * 12 * 10
Area = 120/2 = 60
Area of the shaded area
120 - 60 = 60
