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3 years ago

Need help please anyone

Mathematics

1 answer:

Svetllana [295]3 years ago

3 0

9514 1404 393

Answer:

A) The angles marked ∠7 and ∠8 are vertical angles.

B) The angles marked with expressions in y are also vertical angles, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.

C) y = 24; ∠7 = ∠8 = 89°

Step-by-step explanation:

A) The angles marked ∠7 and ∠8 are vertical angles, comprised of opposite rays and having a common vertex.

B) The angles marked with expressions in y are also vertical angles. Vertical angles are congruent, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.

C) (5y-29)° = (3y+19)°

2y = 48 . . . . . . . . . . . . divide by °, add 29-3y

y = 24 . . . . . . . . . divide by 2

Angles 7 and 8 are supplementary to the angles marked with expressions in y.

∠7 = ∠8 = 180° -(5y -29)° = 209° -5(24)°

∠7 = ∠8 = 89°

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