Answer :

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°

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