Question

The exterior angle of a ∆ measures 145 degree. If the interior opposite angles
Are in the ratio 2:3, determine all the angles of the ∆?

Answer 1

Answer:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Hence

angle A = angle B = 70

Answer 2

Answer:

Step-by-step explanation:

by exterior angle property

145=2x+3x

145=5x

145/5=x

29=x

2x=29*2

=58

3x=29*3

=87

by angle sum property

180=58+87+x

180-145=x

35=x

so

angle 1=58

angle 2= 87

angle 3=35