Question

Part A:

The measures of two angles are given by 4x° and (2x+12)°. If x=13, what is the measure of each angle?
Part B:
The angles are adjacent. If x=13, how could the angles be classified? Explain your answer.

Answer 1

When x=13, the measures of the two angles are 52° and 38° respectively. Since these angles are adjacent and their sum is 90°, they are complementary and form a right angle.

Step-by-step explanation:

For Part A: Given the angle measures 4x° and (2x+12)° with x=13. The measure of the first angle is calculated as 4(13)° = 52°. The second angle is calculated as (2(13)+12)° = 38°.

For Part B: Since the angles are adjacent, if you add them together and the sum is 90°, they form a right angle. With x=13, the sum of the angles is 52° + 38° = 90°, so they can be classified as complementary angles that form a right angle when placed adjacent to each other.