Question

the angles of triangle are in A.P smallest angle is 45 degree find the largest angle in triangle​

Answer 1

Answer:

let the angles be 45*, (45+d)*, (45+2d)*

now,

according to the angle sum property of triangles,

45* + (45+d)* + (45+2d)* = 180*

135*+ 3d* = 180*

3d* = 45*

d* = 45/3*

d* = 15*

therefore common difference is 15*

hence,

the angles are,

45* =45*

45*+d* = 45*+15*=60*

45*+2d*=45*+2×15*=45*+30*=75*

Ans : The largest angle in the triangle is 75*.

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Answer 2

Step-by-step explanation:

Let the angles be

• 45*
• (45+d)*
• (45+2d)*

Now, w.k.t. 45*+(45+d)*+(45+2d)*=180*

135+3d=180*

3d=180*-135*

d=45÷3*

d=15*