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payshencec21
25.11.2021 •
Mathematics
If ∠=°, what is the measure of each of the other angles?
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Ответ:
Angles 2, 4, 6 & 8 are 118 degrees and angles 1, 3, 5 & 7 are 62 degrees.
Step-by-step explanation:
∠4 ≅ ∠2 by the Vertical Angle Theorem.
∠4 ≅ ∠8 by the Corresponding Angle Theorem.
∠4 ≅ ∠6 by the Alternate Exterior Angle Theorem.
∠4 is supplementary to ∠1 and ∠4 supplementary to ∠3 by the Linear Pair Postulate.
∠4 is supplementary to ∠5 because ∠4 ≅ ∠2 (explained above) and ∠2 supplementary to ∠5 by the Same-Side Interior Angle Theorem.
∠4 is supplementary to ∠7 by the Same-Side Exterior Angle Theorem.
Ответ:
<J = 58.1
Step-by-step explanation:
tan theta = opp / adjacent sides
tan J = 15.1/9.4
Take the inverse tan of each side
tan ^-1 (tan J) = tan^-1 (15.1/9.4)
J= 58.09705252
Rounding to the nearest tenth
J = 58.1