The angles of a triangle are such that one angle is 130 more than the smallest angle, while the third angle is 3 times as large as the smallest angle. Find the measures of all three angles

Step-by-step explanation:

Let

x ----> the measure of one angle of the triangle

y ---> the measure of the smallest angle

z ----> the measure of the third angle

we know that

The sum of the measure of the interior angles in any triangle must be equal to 180 degrees

-----> equation A

one angle is 130 degrees more than the smallest angle

----> equation B

the third angle is 3 times as large as the smallest angle

---> equation C

substitute equation B and equation C in equation A

solve for y

Find the value of x

Find the value of z

therefore

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)