What is the measure of ABC?
1 answer:
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Answer:
∠ EML = 94°
Step-by-step explanation:
See the attached diagram.
The three angles ∠ NME, ∠ EML and ∠ NML together make 360°.
Now, ∠ NME = x + 97, ∠ EML = x + 66 and ∠ NML = 141°
Hence, (x + 97) + ( x + 66) + 141 = 360
⇒ 2x + 304 = 360
⇒ 2x = 56
⇒ x = 28
So, ∠ EML = x + 66 = 28 + 66 = 94° (Answer)
Answer:
Step-by-step explanation:
Using the given measurements of the angles and the lengths of the sides, we can determine that this figure must be a <u>rectangle</u>.
Diagonals of a rectangle are <em>always</em> equivalent/congruent.
We can use this information to set up an equation:
Add 3 to both sides:
Subtract 5x from both sides:
Divide both sides by 2