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arlik [135]
3 years ago
9

What is the measure of ∠x?

Mathematics
1 answer:
Archy [21]3 years ago
5 0

Answer:

114 degrees

Step-by-step explanation:

Hi there.

Line segment LN is a straight line, meaning that it contains a straight angle (an angle measuring 180 degrees).

We know that if this is a straight angle, that x+66=180.

Therefore, m∠x = 114 degrees.

Hope this helps! :^)

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Can someone walk me through how to do this problem please?​
Sholpan [36]

Hey!

----------------------------------------------------------------

We Know:

m∠AED = 34°

m∠EAD = 112°

----------------------------------------------------------------

Solution:

You notice 4 small triangles in both triangles. That shows that both triangles are the same.

The angles are the same for m∠BDC and m∠AED.

The angles are the same for m∠ADB and m∠EAD

----------------------------------------------------------------

Angles:

m∠BDC = 34°

m∠ADB = 112°

----------------------------------------------------------------

Congruent Angles:

m∠AED ≡ m∠BDC

m∠EAD ≡ m∠ADB

----------------------------------------------------------------

Hope This Helped! Good Luck!

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