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____ [38]
3 years ago
5

Find the unknown angle

Mathematics
2 answers:
Lisa [10]3 years ago
4 0

<u>♣</u><u> </u><u>GIV</u><u>EN</u><u> </u><u>♣</u>

  • A triangle is given to us.
  • In that triangle two sides are produced.
  • Two angles are given as variables and one of the angle is 52°.
  • The angle formed by two produced sides is 75°.

<u>♣</u><u> </u><u>T</u><u>O</u><u> </u><u>FI</u><u>ND</u><u> </u><u>♣</u>

  • The two unknown angles.

<u>♣</u><u> </u><u>S</u><u>O</u><u>L</u><u>U</u><u>T</u><u>I</u><u>O</u><u>N</u><u> </u><u>♣</u><u> </u>

In the given figure y = 75° , since y and 75° are Vertically opposite angles and vertically opposite angles are equal to each other.

Now , we know that the angle sum property of a ∆ is 180°, i.e. sum of all interior angles of a triangle is equal to 180°.

So , in the given ∆ ,

=> x + y + 52° = 180° .

=> 75° + 52° + x = 180°.

=> 127° + x = 180° .

=> x = (180 - 127)°.

☞ x = 53° .

<u>Hence</u><u> </u><u>,</u>

  • x = 53°.
  • y = 75°.
Alexus [3.1K]3 years ago
3 0

Answer:

y= 75

x= 53

Step-by-step explanation:

y= 75

Vertically opposite angles

x=53

75 + 52 = 127

angles in a triangle add up to 180

180 - 127 = 53

Hope this helps!

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