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CBSE Class 9 Answered

If one of the angle of the triangle is  equal to the sum of the other two angles .Express this information into equivalent linear equation of two variables  and  also find the angles of triangle id  measure of one of the angle is 60 degree.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

  Let  the first angle = x

            Let the second angle=y
            According to the given information, Third angle=x+y
           
            We know that sum of angles in  a triangle is equal to 180 degree.
            So,
            X+y+(x+y)=180
            2x+2y=180
            X+y=90                                    (i)
             Now measure of one angle=60 degree.
            Substituting in (i) we get
            60+y=90
            y=90-60=30
            Third angle=x+y=60+30=90
            Thus angles of triangle are 60, 30 and 90 degrees
Answered by | 04 Jun, 2014, 03:23: PM

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