trinmoreno05 trinmoreno05
  • 11-11-2020
  • Mathematics
contestada

Using the Triangle Sum Theorem, find x and the missing angles (2x +1) (5x +5) x= Angle (2x+1) = Angle (5x+5) =​

Using the Triangle Sum Theorem find x and the missing angles 2x 1 5x 5 x Angle 2x1 Angle 5x5 class=

Respuesta :

eudora eudora
  • 18-11-2020

Answer:

x = 12

(2x + 1)° = 25°

(5x + 5)° = 65°

Step-by-step explanation:

By the property of a triangle,

Sum of all angles of a triangle is 180°

In the given right triangle,

(2x + 1)° + 90° + (5x + 5)°= 180°

7x + 96 = 180

7x = 180 - 96

x = [tex]\frac{84}{7}[/tex]

x = 12

Angle (2x + 1)° = 2(12) + 1 = 25°

Angle (5x + 5)° = 5(12) + 5 = 65°

Therefore, all three angles of the right triangle are 25°, 90° and 65°.

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