Mathematics
Grade-8
Easy

Question

text  Given that  end text angle A equals 60 degree comma text  what is the measure of  end text angle B ?

  1. 75o
  2. 50o
  3. 60o
  4. 90o

hintHint:

We know the sum of all the interior angles of a triangle is 180.
the measure of angle c=2x+x

The correct answer is: 75o


    In triangle APC;
    angle a=60 and angle p=90
    We know the sum of all the interior angles of a triangle is 180.
    angle a +angle p +angle c=180
    60+90+2x=180
    150+2x=180
    2x=30
    x=15
    so, the measure of angle c=2x+x=3x
    3x=3*15
    angle c=45
    Now, in the triangle ABC;
    We know the sum of all the interior angles of a triangle is 180o.
    angle a +angle b +angle c=180
    60+angle b+45=180
    angle b=180-105
    angle b=75.
    Therefore; the measure of angle b=75

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