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3 years ago

Find the unknown angle

Mathematics

2 answers:

Lisa [10]3 years ago

4 0

♣ GIVEN ♣

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°.

♣ TO FIND ♣

The two unknown angles.

♣ SOLUTION ♣ 

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° .

Hence ,

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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Step-by-step explanation:

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