Answer:
m<1 = 60 deg; m<2 = 120 deg; m<3 = 25 deg
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180 degrees.
We start with the left triangle.
85 + 35 + m<1 = 180
120 + m<1 = 180
m<1 = 60
Angles 1 and 2 form a linear pair, so they are supplementary. That means that the sum of the measures of angles 1 and 2 is 180 deg.
m<1 + m<2 = 180
60 + m<2 = 180
m<2 = 120
Now we work on the right triangle.
m<2 + m<3 + 35 = 180
120 + m<3 + 35 = 180
m<3 + 155 = 180
m<3 = 25
Answer: m<1 = 60 deg; m<2 = 120 deg; m<3 = 25 deg
