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QUESTION IMAGE

drag each angle named on the left to its correct measure on the right. …

Question

drag each angle named on the left to its correct measure on the right.
choices

  • angle 1
  • angle 9
  • angle 6
  • angle 18

answers
$135^\circ$
$45^\circ$
$110^\circ$
$65^\circ$
$115^\circ$

Explanation:

Step1: Find Angle 10's supplement

$\angle 10 = 70^\circ$, so its supplementary angle is $180^\circ - 70^\circ = 110^\circ$. This angle is equal to $\angle 6$ (vertical angles) and $\angle 1$ (corresponding angles).

Step2: Find Angle 9

$\angle 9$ and $\angle 10$ are supplementary: $180^\circ - 70^\circ = 110^\circ$.

Step3: Find Angle 18

$\angle 18$ and $\angle 9$ are corresponding angles, so $\angle 18 = 110^\circ$.

Answer:

  • Angle 1: $110^\circ$
  • Angle 9: $110^\circ$
  • Angle 6: $110^\circ$
  • Angle 18: $110^\circ$

Note: Based on the given $70^\circ$ angle, all four angles measure $110^\circ$, matching one of the provided answer choices.