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29 votes
29 votes
A
(5x − 11)
(3x + 11)
find y
Please help, I’m not sure what I’m doing.

A (5x − 11) (3x + 11) find y Please help, I’m not sure what I’m doing.-example-1
User Chayma Atallah
by
3.2k points

1 Answer

20 votes
20 votes

Explanation:

Fact 1: Alternate angles are equal.

Angles, (5x-11)° and (3x+17)° are ALTERNATE angles and so,

(5x-11)° = (3x+17)°

5x - 3x = 17 + 11

2x = 28

x = 28 ÷ 2

x = 14

NB: x does NOT have the degree sign because it's NOT an angle on its own, but rather within the bracket/part of the calculation to get the angle degree.

Fact 2: Opposite angles are equal.

Y° and (3x+17)° are OPPOSITE angles

y = (3x+17)°

y = (3x14) + 17

y= 42 + 17

y = 59°

Hope this helps!

User Alexandre L Telles
by
3.2k points