Question

Given m|n, find the value of x.
(8x-7)°
(9x-28)

PLEASE HURRY!!!

Answer 1

x = 21

General Formulas and Concepts:

Geometry

• Corresponding Angles - Angles that are congruent to each other and occur with parallel lines

Explanation:

Step 1: Identify

We see that the measures given are Corresponding Angles

Step 2: Solve for x

1. Set up equation: 8x - 7 = 9x - 28
2. Subtract 8x on both sides: -7 = x - 28
3. Add 28 on both sides: 21 = x
4. Rewrite: x = 21

Answer 2

If m | n, it means that m is a divisor or factor of n, or equivalently, n is divisible by m. In geometry, if two lines intersect and the corresponding angles are congruent (have the same measure), then the lines are said to be cut by a transversal in a way that creates equal corresponding angles.

In the given problem, we have two angles formed by two intersecting lines, and we are told that they are corresponding angles, so they have the same measure. Therefore, we can set the two expressions that represent the angles equal to each other and solve for x.

(8x-7)° = (9x-28)°

8x-7 = 9x-28 (setting the two expressions equal to each other)

-x = -21 (subtracting 8x and adding 28 to both sides)

x = 21 (dividing both sides by -1)

Therefore, the value of x is 21.