AB || CD. A transversal cuts them. One angle and its corresponding angle are given as (x^2 - 5x) deg and 24° respectively, with x a positive integer making the angle 24°. Find the positive value of x.

Question

Accepted Answer

8. Corresponding angles equal: x^2 - 5x = 24, so x^2 - 5x - 24 = 0, (x - 8)(x + 3) = 0. Positive root x = 8.

AB || CD. A transversal cuts them. One angle and its corresponding angle are given as $(x^{2} - 5 x)$ deg and 24° respectively, with $x$ a positive integer making the angle 24°.
Find the positive value of $x$ .

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Parallel Lines and a Transversal practice

AB || CD. A transversal cuts them. One angle and its corresponding angle are given as (x2−5x) deg and 24° respectively, with x a positive integer making the angle 24°.Find the positive value of x.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Parallel Lines and a Transversal practice

AB || CD. A transversal cuts them. One angle and its corresponding angle are given as $(x^{2} - 5 x)$ deg and 24° respectively, with $x$ a positive integer making the angle 24°.
Find the positive value of $x$ .