Question

16) One angle of a triangle is equel to the sum of the other two. If the ratio of the other two angles is 7:8. find the angles of the triangle​

Answer 1

Answer:

Since ratio of other two angles is 7:8

Angles are 7x & 8x

according to the question =>

                                                third angle = 7x + 8x

                                                                   = 15x

By angle sum property =>

                                           7x + 8x + 15x = 180

                                            30x = 180

                          therefore,  x = 6

The angles are =>

                              7(6) , 8(6) , 15(6)

                         => 42° , 48° , 90°