The sum of interior angles in a triangle are 180 degrees. Angle B and C are congruent. Angle B is twenty less than angle A. Writ
e and solve a system of equations using substitution.
1 answer:
Answer:
A = 73.33
B = 53.33
C = 53.33
Step-by-step explanation:
Mathematically, adding the 3 angles would equal 180
Thus;
A + B + C = 180 •••••(i)
Since B and C are congruent, that means they are equal ( we are looking at isosceles triangle)
B = C •••••••••(ii)
Lastly;
B = A -20 ••••••••(iii)
Make a substitution in equation 1;
A + A -20 + A -20 = 180
Since B = C ; C also is A-20
3A -40 = 180
3A = 220
A = 220/3 = 73.33
B = C = A -20 = 73.33 -20 = 53.33
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