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2 years ago

Use the diagram to find the measure of each angle. Enter the number only.

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

7 0

9514 1404 393

Answer:

a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

i = 56, j = 124, k = 56

Step-by-step explanation:

Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.

Working from the top and from the given angles, ...

h = 60°

f = g = 180° -h = 120°

j = 124°

k = i = 180° -124° = 56°

a = 64°

b = d = 90°

c = e = 90° -64° = 26°

In summary, measures in degrees are ...

a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

i = 56, j = 124, k = 56

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