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

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions-example-1
User Ranish
by
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1 Answer

5 votes

9514 1404 393

Answer:

x = 14°

y = 5°

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°
User Tasos Anesiadis
by
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