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Help me with this pls

Help me with this pls-example-1
User SMacFadyen
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1 Answer

4 votes

Answer:

x=55, and y=62.5

Explanation:

The reason why x=55 is because x and the angle 125 degrees form a linear pair (180 degrees) Hence,

x+125=180

=> x=180-125

=> x=55

Now coming to y, As we see y and 125 do not form a linear pair, so we know that x=the top angle of the triangle in which angle y is there. And with the information we also find that the triangle in which y is present is an isosceles triangle, so the other 2 angle than the top angle are equal, which are y and another angle which is also y as they are the same degrees. Hence, we know x=55, then,

55+2y=180(As the angles in a triangle sum up to 180 degrees)

=> 2y=180-55

=> 2y=125

=> y=125/2

=> y=62.5

Hope my answer helps, Thank you!

User Naw
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