Question

$\pink\mathcal{Math \: Legends \: Need \: Help !}$
Two Supplementary angles are such that two times the measure of one is equal to three times the measure of the other. Find the Measures of the angles.
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Answer 1

Step-by-step explanation:

Two supplementary angles are such that two times the measure of one is equal to three times the other find

Let the angles be X and Y

Therefore,

X + Y = 180°

Now as per given we conclude.

= 2X = 3Y

= X = 3Y /2

Put value of X in initial equation

3Y/2 + Y = 180°

5Y/2 = 180°

Y = 72°

Therefore X= 108°

Verify the answer by putting values of X and Y simultaneously .

Good Luck

Answer 2

72°

Step-by-step explanation:

Let the measure of one of the supplementary angles be x°.

Then, the measure of its supplement = (180 - x°)

2 x (measure of one angle) = 3 x (measure of its supplement)

• 2x = 3(180° - x)
• 2x = 540° - 3x
• 5x = 540°
• x = 540r/5 = 108°

✰ (180° - x) = (180° - 108°) = 72°

$\mathcal{More \: to \: Know:}$

✘ Complementary angles

> Two angles whose sum are 90° are called complementary angles.

✘ Supplementary angles

> Two angles whose sum is 180° are called supplementary angles.