RobotDecoy
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  • 28-10-2021
  • Mathematics
contestada

find x
find the measure of angle B
find the measure of angle C

find x find the measure of angle B find the measure of angle C class=

Respuesta :

lor067ewp lor067ewp
  • 30-10-2021

Answer:

Step-by-step explanation:

A fact to know: The measure of exterior angle of a triangle = the sum of the two remote interior angles.

So  120 = 22x + 4 + 15x + 5

       120 = 37x + 9

       111 = 37x

         3 = x

m ∠B = 22 (3) + 4 = 70

m ∠C = 15(3) + 5  = 50

 OR  The exterior angle + m ∠CDB = 180              Definition of straight angle

    So m ∠CDB = 60°

The sum of the angles in a triangle= 180

15x + 5 + 22x +4 + 60 = 180; 37x + 69 = 180; 37x = 111; x = 11  

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