Question

1. In the accompanying diagram, line a intersects line b. ar b (x + 5) (2x - 5) What is the value of x?​

Answer 1

Answer:

$x = 10$

Step-by-step explanation:

When two straight lines intersect, 2 pairs of vertical angles formed are congruent.

Therefore,

$(x + 5) = (2x - 5)$

Use this equation to solve for x as follows:

$x + 5 = 2x - 5$

Subtract 5 from both sides

$x + 5 - 5 = 2x - 5 - 5$

$x = 2x - 10$

Subtract 2x from both sides

$x - 2x = 2x - 10 - 2x$

$-x = -10$

$x = 10$