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3 years ago

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

5 0

9514 1404 393

Answer:

x = 14°

y = 5°

Step-by-step explanation:

Angle COL is complementary to both 25° (∠AOC) and 5y (∠LOM). Then it must be true that ...

5y = 25°

y = 5° . . . . . . divide by 5

Similarly, angle MOB is complementary to angle LOM, so ...

90° -25° = 3x +23°

42° = 3x . . . . . subtract 23° and simplify

14° = x . . . . . . divide by 3

The values of x and y are ...

x = 14°
y = 5°

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