Question

Two supplementary angles are such that two times the measure of one is equal to three times the measure of the other.the measure of the smaller angle is​

Answer 1

Step-by-step explanation:

d since the larger angle is 3 times the size of theother two angles we can from the there video white 2 find the measure of the small anglep if each of the equal angles x the third angle is 3 x

180==2x+

Answer 2

Answer:

72°

Given:

• The two angles are supplementary.
• Two times the first angle is three times the other angle.

To Find:

• The measure of smaller angle.

Solution:

Let the first angle = x

Other angle = ( 180° - x )

According to the question:

➞ 2 ( x ) = 3 ( 180 - x )

➞ 2x = 540° - 3x

➞ 2x + 3x = 540°

➞ 5x = 540°

➞ x = 540°/5

➞ x = 108°

First angle = x = 108°

Second angle = (180° - 108° ) = 72°

The measure of smaller angle is 72°

Verification:

Put 108° and 72° in place of the angles.

➞ 2 ( 108 ) = 3 ( 72 )

➞ 216 = 216

LHS = RHS

Hence, verified.