Question

Find the measure of angle 6

Answer 1

`\displaystyle 78° = m\angle{6}`

Step-by-step explanation:

As you can see, angles
`\displaystyle 6\:and\:3`are alternate interiour angles, and accourding to the Alternate Interiour Angles Theorem, these angles are considered congruent, therefore seventy-eight degrees is also the measure of the sixth angle.

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Answer 2

∠6 = 78°.

Step-by-step explanation:

∠3 = 78°

∠2 and ∠3 are vertical angles, => ∠2 = ∠3 = 78°.

∠2 and ∠6 are corresponding angles, => ∠6 = 78°.