Question

The exterior angle of a triangle is 130° and it's opposite interior angles are in the ratio of 2:3. (i) Which property you will use to find these angles? (ii) What will be the equation? (iii) Find the angles. *

Answer 1

Answer:

See below for answers

Step-by-step explanation:

i) Property:

The measure of an exterior angle of a triangle is equal to the sum of its remote  interior angles.

ii) Equation

2x + 3x = 130

x = 130 / 5 = 26

iii) Angles

angle1 = 2x = 2 * 26 = 52

angle2 = 3x = 3 * 26 = 78