Question

Find the unknown angle

Answer 1

y= 75

x= 53

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!

Answer 2

♣ 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°.