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asambeis [7]
3 years ago
5

In triangle​ ABC, the size of angle B is 3 times the size of angle​ A, and the size of angle C is 12degrees less than 6 times th

e size of angle A.
Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0

Answer:

A=19.2^o\\B=57.6^o\\C=103.2^o

Step-by-step explanation:

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180 ----> equation a

B=3A ----> equation b

C=6A-12 ----> equation c

Solve the system by substitution

Substitute equation b and equation c in equation a

A+3A+6A-12=180

Solve for A

10A=180+12\\10A=192\\A=19.2^o

Find the measure of angle B

B=3(19.2^o)=57.6^o

Find the measure of angle C

C=6(19.2)^o-12=103.2^o

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