Question

Find the value of each numbered angle. Type only the value, do not type degrees.

Answer 1

1: 60

3: 60

2:120

4: 120

5: 30

6: 30

Explanation:

• 4 is 120 bc the triangle 4 belongs to has 40 and 20 which means that 4 is 120 since the sum of triangle has to be 180.
• 1 has a measure of 60 because the sum of 4 and 1 has to be 180.
• 1 and 3 have the same angle measure bc they are vertical angles. 3 is 60.
• 2 is the vertical angle of 4, so it has the same measure with 4, 120.
• 5 is 30 bc the 3 is 60+90+ angle 5=180 -> 150+angle5=180 -> angle 5=30
• 6 is 30 bc the 3 is 60+90+ angle 6=180 -> 150+angle 6=180 -> angle 6=30