Question

In a linear pair of angles ,the
measure of the smaller angle is
40 degree less than the other.
Find the measure of the smaller
angle​

Answer 1

x=40

Explanation:

The key realization is that when two angles form a linear pair, they form a straight line, which has a measure of 180∘.

This means we can set up the following equation:

3x+5+x+15=180

This equation is saying that the sum of the two measures of the angles (blue and purple expressions) add up to 180 degrees.

In the equation, we can combine our like terms to get

4x+20=180

Next, subtract 20 from both sides to get

4x=160

Next, we can divide both sides by 4 to get

x=40

Hope this helps!

this answer is same as this question so try to do it by this method

Answer 2

Answer:

let one be x

so, other is x-40

x+x-40=180(linear pair)

=>2x=220

=>x=110

smaller angle = x-40 = 110-40 = 70