Question

In a certain triangle, the measure of angle A is three times as big as the measure of angle C and the measure of angle B is 130 degrees bigger than the measure of angle C. What is the degree measure of angle C?

Answer 1

In this triangle, angle A is three times as big as angle C and angle B is 130 degrees bigger than angle C. To find the measure of angle C, we can set up an equation using the given information and solve for c. After solving, we find that the measure of angle C is 10 degrees.

Step-by-step explanation:

In this problem, we have a triangle with angle A, angle B, and angle C. We are given two pieces of information: angle A is three times as big as angle C, and angle B is 130 degrees bigger than angle C. Let's solve for the measure of angle C.

1. Let's represent the measure of angle C as c.
2. Since angle A is three times as big as angle C, angle A = 3c.
3. Since angle B is 130 degrees bigger than angle C, angle B = c + 130.
4. According to the sum of angles in a triangle, angle A + angle B + angle C = 180 degrees.
5. Substituting the values we found, we get 3c + (c + 130) + c = 180.
6. Combining like terms, we have 5c + 130 = 180.
7. Subtracting 130 from both sides, we get 5c = 50.
8. Dividing both sides by 5, we get c = 10.

Therefore, the measure of angle C is 10 degrees.

Answer 2

C=10 degrees

Step-by-step explanation:

1. C=x

x=unknown

We do not know the value of x, we also do not know the value of c.

you can use c, but i feel like x will be less confusing

A=3x

B=x+160

all angles in a triangle add up to 180.

x+3x+x+130=180

5x=50

x=10 degrees

hope this helped