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Anon25 [30]
1 year ago
15

I need help with my math

Mathematics
1 answer:
REY [17]1 year ago
7 0

EXPLANATION

Applying the sum of interior angles theorem give us the following relationship:

60 + 3x + (x+20) = 180

Removing the parentheses:

60 + 3x + x + 20 = 180

Adding like terms:

80 + 4x = 180

Subtracting -80 to both sides:

4x = 180 - 80

Subtracting numbers:

4x = 100

Dividing both sides by 4:

x = 100/4

Simplifying:

x = 25

Then, the missing angles are:

25 + 20 = 45 degrees

3*25 = 75 degrees

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Explanation:

Here is one way to go about it.

<u>Statement</u> . . . . <u>Reason</u>

1. AD ≅ BC, AD║BC, E & F are midpoints of BC, AD . . . . given

2. (1/2)AD ≅ (1/2)BC . . . . multiplicative property of congruence (equality)

3. DF = (1/2)AD, BE = (1/2)BC . . . . definition of midpoint

4. DF ≅ BE . . . . substitution property of congruence

5. BE║DF . . . . segments of parallel lines are parallel

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