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User Afas
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Step-by-step explanation:

a = 72°, alternate interior angle to the one marked 72°, so congruent

b = d = j = 180° -2(72°) = 36°; twice angle 'a' is supplementary to b; all the acute angles where parallel lines are crossed are the same measure

c = e = h = 2(72°) = 144°; the obtuse angles where parallel lines are all the same measure

f = (180° -e)/2 = 18°, base angle of isosceles triangle

g = 180° -f = 162° . . . supplementary to the base angle

k = 54°, complementary to b

m = 126°, supplementary to the base angle of the triangle containing 'a'.

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Additional comment

The base angles of an isosceles triangle with third angle A are ...

B = C = (180° -A)/2

Angles that together make a straight line have a total of 180°.

User Mchawre
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