Determine the measure of the angles.
m<1 =
m<2 =
m<3 =

Answer:
58° , 122° , 29°
Step-by-step explanation:
The triangle on the left has 2 congruent sides thus is isosceles.
Then the 2 base angles are congruent, so
∠ 1 = [tex]\frac{180-64}{2}[/tex] = [tex]\frac{116}{2}[/tex] = 58°
∠ 2 and 58° are adjacent angles and supplementary, that is
∠ 2 + 58° = 180° ( subtract 58° from both sides )
∠ 2 = 122°
The triangle on the right has 2 congruent sides and is isosceles
Then the 2 base angles are congruent, so
∠ 3 = [tex]\frac{180-122}{2}[/tex] = [tex]\frac{58}{2}[/tex] = 29°