In the following figure, triangle abc is a right triangle, and m a = 42°. find the value of n°. note: the figure is not drawn to scale.

n =

Step-by-step explanation:

We have been given an image of a right triangle and we are asked to find the measure of n.

We can see from given triangle that angle n is exterior angle of triangle ABC.

The exterior angle of triangle theorem states 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 of the triangle.

Using above theorem we can set an equation to solve for n as:

Therefore, the value of n is 132 degrees.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)