Question

. One angle of a triangle measures 30° and the other two angles are in the ratio
angles are in the ratio 3:2 Find these angles​

Answer 1

Answer:

The angles are 90 and 60.

Step-by-step explanation:

Let the other angles be 3x° and 2x°.

A/Q

3x + 2x = 180 - 30

5x = 150

x = 150/5

x = 30

Therefore, the angles are 3 x 30 = 90°

and 2 x 30 = 60°.

Answer 2

Step-by-step explanation:

Given, ratio = 3:2

Let the two angles be 3x and 2x

Given third angles = 30°

The 3 angles of a triangle are: 3x , 2x , 30°

Sum of 3 angles in a triangle is 180°

then,

3x + 2x + 30° = 180°

5x = 150°

x = 30°

The 3 angles of a triangle are: 30° , 90° , 60°

3x = 3×30° = 90°

2x = 2×30° = 60°