The correct answer is therefore A. ∠A, ∠C, ∠B.
The angles of triangle ABC from smallest to largest measure. To do this, you can use the triangle angle sum theorem, which states that the sum of the angles in any triangle is equal to 180 degrees.
Here are the steps on how to solve this question:
1. Identify the angles:The angles in triangle ABC are обозначены∠A, ∠B, and ∠C.
2. Use the triangle angle sum theorem:Write down the equation ∠A + ∠B + ∠C = 180°.
3. Substitute the given angle measures:From the image, we see that ∠A = 130° and ∠B = 120°. Substitute these values into the equation to get 130° + ∠B + ∠C = 180°.
4. Solve for the missing angle: Solve the equation for ∠C: ∠C = 180° - 130° - 120° = 30°.
5. Compare the angle measures: Now that you know all the angle measures, you can compare them to see which is the smallest, which is the middle, and which is the largest. In this case, ∠C is the smallest (30°), ∠B is the middle (120°), and ∠A is the largest (130°).
6. Choose the correct answer: The correct answer is therefore A. ∠A, ∠C, ∠B.
Here is an additional explanation of why this is the correct answer:
The largest angle in a triangle is usually opposite the longest side. In this case, side AB is the longest side, and ∠A is opposite it.
The smallest angle in a triangle is usually opposite the shortest side. In this case, side BC is the shortest side, and ∠C is opposite it.
Question: