Question

In a triangle first angle is double of the smallest angle , second angle is 5 more than double the first angle. The angles are:

Answer 1

Answer:

Let the smallest angle be x

First angle=2x

Second angle=5+2(2x)

we know sum of all interior angles of a triangle are supplementary.

that is

x+2x+5+2(2x)=180°

3x+5+4x=180

7x+5=180

7x=180-5

7x=175

x=175/7

x=25

therefore the angles are

smallest angle=x=25°

first angle=2x=2×25=50°

second angle=

5+2(2x)=5+2(2×25)=5+2(50)=5+100=105°

and

25+50+105=180°

180=180°

hence proved as well

hope it helps