Find the measures of angles 1, 2, and 3 (simplify your answer. type an integer or a decimal)

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

 m<1 = 60 deg; m<2 = 120 deg; m<3 = 25 deg

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