Question

A triangle has an angle that measures 130 the other two angles are in a ratio of 12:13 what are the measures of these two angles. Just the answer please it’ll work out best. Please

Answer 1

24° and 26°

Step-by-step explanation:

hypothetically if angle A = 130°, and the ratio of the two other angles (B and C) are 12:13, hence;

`(b)/(c) = (12)/(13) \\ 13b = 12c \\ b = (12)/(13) c`

sum of all angles in a triangle equals 180°, therefore:

`a + b + c = 180 \\ 130 + b + c = 180 \\ b + c = 50`

hence, there are two equations:

`b = (12)/(13)c \\ b + c = 50`

replace angle B in the second equation with the first equation:

`( (12)/(13)c) + c = 50 \\ (25)/(13)c = 50 \\ c = 26`

if C = 26°, then to find B:

`b + c = 50 \\ b + 26 = 50 \\ b = 24`

therefore the two other angles are 24° and 26°