Question

if the two angle of a triangle are in the ratio 2 ratio 3 and the sum of these two angle is 110 degree then the measure of third angle is​

Answer 1

Step-by-step explanation:

Let the common factor be = x

so the angles would be 2x and 3x

So,

2x + 3x =5x= 110°

x= 22°

therefore,

2x=44°

3x=66°

So the third angle would be,(let it be =y)

44°+66°+y= 180° (Angle sum property of triangle)

110°+y=180°

y=70°

Therefore the measure of the third angle is 70°