When two straight lines intersect, 4 angles are formed. It is known that 2 of them are 20

| September 20, 2021 | education

When two straight lines intersect, 4 angles are formed. It is known that 2 of them are 20 degrees larger than the others. Find these corners.

1. When two straight lines intersect, two pairs of vertical angles are formed, let us denote the first pair of vertical angles by x˚.

2. Determine the degree measure of the angles of the second pair:

(x + 20˚).

3. Let’s compose and solve the equation:

(x + 20˚) + x = 360˚;

x + 20˚ + x = 360˚;

2x + 20˚ = 360˚;

2x = 360˚- 20˚;

2x = 340˚;

x = 340˚: 2;

x = 170˚.

4. The degree measure of the angles of the first pair is 170˚, then each of the angles of this pair is equal to 170˚: 2 = 85˚.

5. What is the degree measure of the angles of the second pair?

170˚ + 20˚ = 190˚.

6. Each angle of the second pair is equal to 190˚: 2 = 95˚.

Answer: the degree measures of the angles formed at the intersection of two straight lines are equal to 85˚, 95˚, 85˚, 95˚.



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