ANSWER:
If m∠6 = 115º, find the measure of the other numbered angles in the figure.
∠1, ∠4, ∠5 and ∠7 are supplementary to ∠6 while ∠2, ∠8 and ∠3 are congruent to ∠6.
For those angles who are supplementary to ∠6, here is the solution:
- Let x be the measure of ∠1, ∠4, ∠5 and ∠7.
- 115 + x = 180
- x = 180 - 115
- x = 65
- ∴ the measure of ∠1, ∠4, ∠5 and ∠7 is 65°
For those angles who are congruent to ∠6, their measures remains 115°.
- ∴ the measure of ∠2, ∠8, and ∠3 is 115°
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