Answer:
a = 67° , b = 26° , c = 69°
Step-by-step explanation:
a and 67° are corresponding angles and are congruent , so
a = 67°
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The triangle on the left has 3 equal sides thus is equilateral with 3 congruent angles of 60°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , that is
b + 34° = 60° ( subtract 34° from both sides )
b = 26°
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The vertex of the triangle and 42° are vertically opposite and are congruent
vertex = 42°
The triangle has 2 equal legs and is isosceles with 2 base angles congruent.
c = [tex]\frac{180-42}{2}[/tex] = [tex]\frac{138}{2}[/tex] = 69°
