The degree measures of adjacent angles ABC and CBD are 5: 4. Find the angle between the bisectors of angles
| June 20, 2021 | education
The degree measures of adjacent angles ABC and CBD are 5: 4. Find the angle between the bisectors of angles ABC and ABD. How many solutions does the problem have?
Solution 1.
1. Let one part in relation be equal to x degrees. Then this part will be 180 = 5x + 4x = 9x;
x = 180/9 = 20 °.
2. One angle 20 * 5 = 100 °, and the angle formed by the bisector is 100/2 = 50 °.
3. Another 20 * 4 = 80 °. The angle formed by the bisector is 80/2 = 40 °.
4. Determine the angle between.
50 + 40 = 90 °.
Answer: 90 °.
Solution 2.
1. Since the unfolded angle is 180 °, and the bisector divides the angle in half, Let’s answer the question of the problem.
180/2 = 90 °.
Answer: 90 °.
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