Question

One of the angles of a triangle is 65 degree.if the difference of the other two angles is 45 degree, then the two angles are.

Answer 1

Answer:

In the triangle ABC

A+B+C=180

let angle A be 65

65+ B +C = 180

B+C = 115. (i )

As , B-C = 45 (ii)

comparing (i ) and ( ii)

We get

2B = 160

B= 80

C = 35

Answer 2

Answer:

The other two angles are 80° and 35°

Step-by-step explanation:

Let the other two angles be x and y,

Given;

                     ∠x - ∠y = ∠45°                                              __eq (1

Then,

         ∠65° + ∠x + ∠y = ∠180°                                           [angle sum property]

                     ∠x + ∠y = ∠180° -  ∠65°

                     ∠x + ∠y = ∠115°                                             __eq (2

From adding both  __eq (1)    and    __eq (2),  we get

                             2∠x = ∠115° + ∠45°

                            2∠x = ∠160°

                              ∠x = ∠80°

By substituting the value of  ∠x  in   __eq (2), we get

                              ∠y = ∠115° - ∠80°

                              ∠y =  ∠35°