Question

3. The measures, in degrees, of the three

angles of a triangle are given by 2x + 1,
3x-3, and 9x What is the measure of the
smallest angle?

Answer 1

Answer: 27°

Explanation:

Sum of all Angles of a Triangle = 180°

Finding the Value of ‘x’ :-

2x + 1 + 3x - 3 + 9x = 180
5x + 1 - 3 + 9x = 180
5x - 2 + 9x = 180
14x - 2 = 180
14x = 180 + 2
14x = 182
x = 182/14
=> x = 13

Finding Each Angle :-

= 2x + 1
= 2(13) + 1
= 26 + 1
=> 27°

= 3x - 3
= 3(13) - 3
= 39 - 3
=> 36°

= 9x
= 9(13)
=> 117°

Verification :-

27 + 36 + 117 = 180
63 + 117 = 180
=> 180 = 180
=> LHS = RHS

Hence, verified.

Therefore, smallest angle is 27°

Answer 2

The smallest angle is 27 degrees

Explanation:

The solution is in the image