Question

the larger of two supplementary angles exceeds the smaller by 20 degrees .Find the angles .Also represent algebraically and graphically ​

Answer 1

Answer:

Answer: If smaller angle=X , then larger=3X +20 . so X + 3X +20 = 180 , or 4X +20 ... The larger of two supplementary angles exceeds thrice the smaller by 20 degrees. ... smaller angle of two suplimentary angles respectively I.e., x+y=180 also given x-3y=20 ... Any easy method to find square of numbers?

Step-by-step explanation:

Answer 2

Angles

Given:

Supplementary angles are there in which difference between smaller and larger angle is 20°.

To find:

Measure of 2 angles and represent those algebraically and graphically.

Explanation:

Supplementary angles:

Supplementary angles are two angles whose measures add up to 180° .

Both the angles are said to be supplement of each other.

$\angle1+\angle2=180\textdegree$,

According to question,

let take ∠1 as the smaller angle, ∠2 as the larger of the two.

$\angle1+\angle2=180\textdegree-------------(I)\\\\\angle1+20\textdegree=\angle2--------------(II)$

On solving both the equation, we get

$\angle1=80\textdegree$

$\angle2=180\textdegree-80\textdegree\\\\\angle2=100\textdegree$

The angles are shown algebraically. In this case, 100° is supplement of 80° and vice-versa.

The supplementary angles are shown graphically in attached figure.