bschmider192696 bschmider192696
  • 22-10-2021
  • Mathematics
contestada

find the measure of the indicated angle

find the measure of the indicated angle class=

Respuesta :

jimrgrant1 jimrgrant1
  • 22-10-2021

Answer:

∠ E = 57°

Step-by-step explanation:

Since DF = EF then the triangle is isosceles with 2 base angles congruent , so

∠ E = ∠ D = 4x + 1

The sum of the 3 angles in the triangle = 180°

Sum the 3 angles and equate to 180

4x + 1 + 4x + 1 + 5x - 4 = 180 , collect like terms

13x - 2 = 180 ( add 2 to both sides )

13x = 182 ( divide both sides by 13 )

x = 14

Then

∠ E = 4x + 1 = 4(14) + 1 = 56 + 1 = 57°

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