Question

AABC, angleA=x2B = (2x - 15) and
angleC = (3x + 21) Find the value of
and the measure of each angle of the triangle​

Answer 1

Answer :

(4x - 30) + (2x - 15) + (3x +21) = 180

=> 4x + (2x - 15) + (3x + 21) = 180 + 30

=> 4x + 2x + (3x + 21) = 180 + 30 + 15

=> 4x + 2x + 3x = 225 - 21

=> 9x = 204

=> x = 204/9

=> x = 22.6 ( apply a recurring dot over 6 )

Now,

Angle A = (2 x 22.6) - 15

=> 45.2 - 15

=> 30.2

=> 60.4 (Because it is twice angle B)

Angle B = (2 x 22.6) - 15

=> 45.2 - 15

=> 30.2

Angle C = (3 x 22.6) + 21

=> 67.8 + 21

=> 88.8

Step-by-step explanation:

I Hope You Understood