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If m/_3=26^(@), find m/_6. Justify your answer. 4^(@), alternate 26^(@), supplementary 26%. same side 154^(@), same side angles interior angles interior angles

If m∠3=26∘ m \angle 3=26^{\circ} , find m∠6 m \angle 6 . Justify your answer.\newline4∘ 4^{\circ} , alternate\newline26∘ 26^{\circ} , supplementary\newline2626\%. same side\newline154∘ 154^{\circ} , same side angles interior angles interior angles

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Q. If m∠3=26∘ m \angle 3=26^{\circ} , find m∠6 m \angle 6 . Justify your answer.\newline4∘ 4^{\circ} , alternate\newline26∘ 26^{\circ} , supplementary\newline2626\%. same side\newline154∘ 154^{\circ} , same side angles interior angles interior angles
  1. Identify Relationship: Identify the relationship between angles 33 and 66.\newlineSince angles 33 and 66 are alternate angles, they are equal.\newlineSo, m/6=m/3=26∘m/_{6} = m/_{3} = 26^\circ.
  2. Check Angles 33 and 44: Check the relationship between angles 33 and 44.\newlineAngles 33 and 44 are supplementary, meaning they add up to 180∘180^\circ.\newlineSo, m/4=180∘−m/3=180∘−26∘=154∘m/_{4} = 180^\circ - m/_{3} = 180^\circ - 26^\circ = 154^\circ.
  3. Check Angles 44 and 66: Now, check the relationship between angles 44 and 66. Angles 44 and 66 are same-side interior angles, which means they are supplementary. So, m∠6m\angle6 should be 180∘−m∠4180^\circ - m\angle4. But we already found m∠6=26∘m\angle6 = 26^\circ from the alternate angle relationship. Let's calculate it again to check: m∠6=180∘−m∠4=180∘−154∘=26∘m\angle6 = 180^\circ - m\angle4 = 180^\circ - 154^\circ = 26^\circ.

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