Question

One of the angels of a triangle is 60 degree. the difference between the other two Angeles is 30 degree, then the measure of smallest angle is

Answer 1

Step-by-step explanation:

consider triangle ABC with angle A,B and C equal to 60,x and y respectively.

let angle y be the smaller angle .

we know that ;

x - y = 30

=> x = 30 + y ....... 1

in the triangle A + B + C = 180 (angle sum property)

=> 60 + x + y = 180

x + y = 120 ........ 2

(substitute 1 in 2)

=> 30 + y + y = 120

2y = 90

y = 45.

Hence,the smaller angle measures 45°