Question

an exterior angle of a triangle measure 110 degree and its interior opposite angles are there in the ratio of 2 ratio 3 find all the angles of the triangle​

Answer 1

Answer :

44°, 66°

Solution :

Given,

Exterior angle = 110°

Ratio of opposite interior angles = 2 : 3

Let, the angles be 2x, 3x

We know that,

Exterior angle = sum of opposite interior angles

110 = 2x + 3x

110 = 5x

x = 22°

Hence, the angles are

2x = 2(22) = 44°

3x = 3(22) = 66°

Answer 2

Step-by-step explanation:

Let first interior angle = 2x

Let second interior angle = 3x

According to question

110 + 2x + 3x = 360 ( by exterior angle property)

110 + 5x = 360

5x = 360 - 110

5x = 250

x = 250/5

x = 50

Therefore

first exterior angle = 100

second exterior angle = 150