Question

If two angles are supplementary and their measures are in the ratio 3:2, what are the measures of the angles? ​

Answer 1

Answer:

Angle 1 = 108 degrees Angle 2 = 72 degrees

Step-by-step explanation:

Let the measures of the given angles be (3x)∘ and (2x)∘ respectively.

Since the given angles are supplementary, we have

3x+2x=180⇒5x=180⇒x=36.

∴ the measures of the given angles are (3×36)∘ and (2×36)∘ i.e., 108∘ and 72∘ respectively. Let the measures of the given angles be (3x)∘ and (2x)∘ respectively.

Hope it helped.

Brainliest please?

Answer 2

Answer:

angle 1 = 108°, angle 2 = 72°

Step-by-step explanation:

two angles are said to be supplementary when their sum measures 180°

given angle= 3:2 which means 3x, 2x

so, 3x+2x= 5x

therefore, 5x=180° (according to supplementary angle)

x=36°.... now, if x = 36° then, (the first angle) 3x= 3×36 = 108°

2x= 2×36 (the second angle)

= 72°

Thankyou

hopefully it helped you

Jai Hind