Question

the first angle of a triangle is two more than four times as large as the first angle. the third angle is three times the first angle decreased by 6 .what is the measure of each angle

Answer 1

1. Let's say:
First angle = a
Second angle = b
Third angle = c

2. b = 4a + 2
c = 3a - 6

3. All the angles in a triangle add up to 180°, therefor we can say that a + b + c = 180.
Now using the formulas we have written out in 2. we can say that a + 4a + 2 + 3a - 6 = 180, therefor 8a - 4 = 180 and thus a = 184/8 = 23°

4. Using a = 23°, we may now figure out the values of b and c using the formulas from 2.
b = 4a + 2
b = 4 x 23 + 2 = 94°

c = 3a - 6
c = 3 x 23 - 6 = 63°

5. Now using the original wording in the question, we can say that the first angle (a) is 23°, the second angle (b) is 94° and the third angle (c) is 63°. Hope that helps :)

Answer 2

The 1ts one is 23 2nd is 94 and 3rd is 63