Question

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Answer 1

Answer:

Step-by-step explanation:

5). Triangle DEF is an equilateral triangle.

Therefore, measure of all sides and the angles of the triangle will be equal.

DE = EF = DF = 5.2 ft

3y + 1 = 5.2

3y = 5.2 - 1

3y = 4.2

y = 1.4

Similarly, m∠D = 60° [Measure of all angles of an isosceles triangle = 60°]

(5x)° = 60°

x = $\frac{60}{5}$

x = 12

6). Property to be used in ΔFGH,

"Two sides of an isosceles triangle are equal in measure and opposite angles of the equal sides of the triangle are equal"

FG = GH

3y = 12.9

y = 4.3

m∠F = m∠H

4x = 44

x = 11