The measures of the angles in a triangle are in the ratio of 2:2:4. Find the exterior angle that is adjacent to the largest angle

90°

Step-by-step explanation:

Let there measures of the angles of a triangle are 2x, 2x and 4x.

We know that the sum of angles of a triangle is equal to 180°. So,

2x+2x+4x=180

8x=180

x = 22.5

We know that, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

So, the exterior angle = 4x = 4(22.5) = 90°

answer: 45

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)