Question

6. Find all missing angles m<1 m<2 m<3​

Answer 1

Answer:

1. 128

2. 52

3. 47

4. 133

5. 81

Step-by-step explanation:

1. <1 and <52 are same side interior angles, therefore supplementary. So they should add up to equal 180, this means that <1 is 180 - 52. Solve to get <1 is 128

2. <2 is an alternate interior angle to <52, this means that they are congruent. Since they are congruent, they have the same value of 52.

3. <3 is an alternate interior angle to <47, so they are congruent, this means that they both have a value of 47

4. <4 is supplementary to <3 so you can say that <4 is equal to 180 - 47. Solve this to get <4 is 133

5. <5, <52, and <47 are supplementary when you combine all three. So you can create an equation that says <5 is equal to 180 - 52 + 47. This gives you that angle 5 is 81.