∠1 and ∠2 are a linear pair, and ∠2 and ∠3 are vertical angles. m∠1=(5y−8)∘ and m∠2=(12+6y)∘ .
2 answers:
When two angles are a linear pair, the sum of their measures is 180°:
∡1 + ∡ 2 = 180°
Substituting the expressions for the angles, you get:
<span>5y − 8 + 12 + 6y = 180
Solve for y:
11y = 176
y = 176/11
Now, substitute this value in the expression for </span>∠2, which is the one we are interested in:
∡2 = 12 + 6y = 12 + 6×(<span>176/11) = 108°
When two angles are vertical angles, it means that they share the same vertex and they have the same measure, therefore:
</span>∡3 = ∡2 = 108°
Hence, the correct answer is <span>C) 108°. </span>
Answer:
answer is 108 im with k12
Step-by-step explanation:
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