cacosta3663 cacosta3663
  • 09-02-2022
  • Mathematics
contestada

.
Find the values of x and y
3. In the Diagram, DEFG = WXFG.
E
х
75°
F
60°
question # 3
(15x + ylº
G 3x - 5
0
W

Find the values of x and y 3 In the Diagram DEFG WXFG E х 75 F 60 question 3 15x ylº G 3x 5 0 W class=

Respuesta :

jimrgrant1 jimrgrant1
  • 09-02-2022

Answer:

x = 5 , y = 15

Step-by-step explanation:

Since the figures are congruent then corresponding sides and angles are congruent , that is

WG = DG ( substitute values )

3x - 5 = 10 ( add 5 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

and

∠ WGF = ∠ DGF , that is

15x + y = 90 ( substitute x = 5 )

15(5) + y = 90

75 + y = 90 ( subtract 75 from both sides )

y = 15

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