Question

Как найти градусную меру смежных углов если их разность равна 20 градусов

Answer 1

Пусть один угол х  тогда другой 180-х  а теперь составь уравнение   х --(180 -х) =20  и решай

Answer 2

Finding the Measure of Adjacent Angles with a Given Difference

To find the measure of adjacent angles when their difference is known, you can use the fact that adjacent angles are supplementary, meaning their measures add up to 180 degrees.

Steps to Find the Measure of Adjacent Angles: 1. Set up the equation: Let the measure of one angle be x. Then, the measure of the other angle will be 180 - x, as they are adjacent and supplementary. 2. Use the given difference: If the difference between the angles is 20 degrees, you can set up the equation as x - (180 - x) = 20 and solve for x.

Applying the Steps to the Given Difference

Using the steps outlined above, we can set up the equation based on the given difference of 20 degrees.

Let's denote the measure of the first angle as x. Then, the measure of the second angle, being adjacent and supplementary, will be 180 - x.

So, the equation becomes: x - (180 - x) = 20

Solving for x: 2x - 180 = 20 2x = 200 x = 100

Therefore, the measure of the first angle (x) is 100 degrees, and the measure of the second angle (180 - x) is 80 degrees.

This means that the measure of the first angle is 100 degrees, and the measure of the second angle is 80 degrees, given that their difference is 20 degrees.