Question

Find the values of x and y.
(40y + 20°
8xº (2x + 30°)
(60y – 40)

Answer 1

9514 1404 393

Answer:

• x = 5
• y = 3

Explanation:

Vertical angles are congruent.

8x = 2x +30

6x = 30 . . . . . . subtract 2x

x = 5 . . . . . . . . divide by 6

__

60y -40 = 40y +20

20y = 60 . . . . add 40-40y

y = 3 . . . . . . . .divide by 20

_____

Check

The 'x' angles are 8x° = 8·5° = 40°.

The 'y' angles are (40y+20)° = (40·3+20)° = 140°.

The angles are supplementary, as they are supposed to be.