Question

If two supplementary angles are in the ratio 2:3 find the angles

Answer 1

Complementary angle = 180°
Total ratio is 2+3=5
First angle = 2/5×180° = 72°
Second angle = 3/5×180° = 108°

Answer 2

Answer:

Angel are 72° and 108°

Step-by-step explanation:

GiveN :

• Ratio of angles of supplementary angle is 2:3

To finD :

• Measures of each angle

Solution :

We know that supplementary angles are the two angles which sum is equal to 180°

Let the given angle be 2x and 3x

hence,

2x+3x = 180°

=> 5x = 180°

=> x = $\small{\bf{ \frac{180}{5} }}$

=> x = 36

Hence, the angles are :

• 2x = 2×36 = 72°
• 3x = 3×36 = 108°