Question

Find the measure of each missing angle

Answer 1

m<1= 109 degrees

m<2= 71 degrees

m<3= 109 degrees

m<4= 109 degrees

m<5= 71 degrees

m<6= 71 degrees

m<7= 109 degrees

Explanation:

To find the measure of <1, you take 180 degrees (which is the degree of a straight line) minus 71. This is because you are trying to find what other number needs to be added to make the whole 180 degree line.

To find the measure of <2, opposite angles equal the same. This is also how you find m<3, m<6, and m<7.

The rest are hard to explain so look up "alternate interior angles" if you are interested.

Answer 2

<1 109

<2 71

<3 109

<4 109

<5 71

<6 71

<7 109

Explanation:

There are other relationships too

Angles 1 and 2 are supplementary angels. They add to 180.

Angles 1 and 3 are vertical angles they are equal.

Angles 71 and 2 are vertical angles.

If you translate angles 71, 1 ,2 and 3 down the transversal, they will land on 4, 5, 6,7. There are corresponding angels. Corresponding angles are equal.