59,321 views
20 votes
20 votes
Help, please.
I’m not sure how to do it, but it’s part of a puzzle.

Help, please. I’m not sure how to do it, but it’s part of a puzzle.-example-1
User Chris Hagmann
by
3.1k points

2 Answers

22 votes
22 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 Yusuf Demirag
by
2.9k points
19 votes
19 votes

Answer:

x = 14 y = 59

Explanation:

the angle (5x - 11) is equal to the angle (3x + 17) and 3x+ 17 is equal to y

5x - 11 = 3x + 17

5x - 3x = 17 + 11

2x = 28

x = 28/2

x = 14

3x+17 = y

3(14) + 17 = y

y = 59

User KyleT
by
3.4k points