Problema Solution
in triangle abc the size of angle b is 3 times the size of angle a and the size of angle c is 2 less than 6 times the size of angle a find the size of the angles what is the size of angle a simplify the answer type interger or a decimal
Answer provided by our tutors
With this question first identity the common angle which is related to the others by the facts given in the question.
In this case it is angle A
Now set up equations, so
B = 3A
I'm assuming that you mean C is 15 less (not 15 times less), so
C = 6A - 15
now the angles of a triangle equate to 180 degrees
so A+B+C = 180
now sub in respectively unknowns from above
=> A + 3A + 6A - 2 = 180
=> 10A = 182
A = 18.2 degrees
now sub that back into your original equations and you should get B = 54.6 degrees, and C = 107.2 degrees