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Answer:
b = 90°
Explanation:
Angles a, b, c form a linear angle, so their sum is 180°. This means ...
a + b + c = 180°
b = 180° -(a +c)
Angles 'a' and 'c' are complementary, so their sum is 90°.
b = 180° -90°
b = 90°
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We can also find the measures of the other angles in this geometry.
a = 90° -c = 90° -56° = 34°
e = c = 56° . . . . . . . . . vertical angles
In summary, ...
a = 34°, b = 90°, c = 56°, d = 124°, e = 56°