Iwill award in the given figure, the reflex angle ∠dob has measure of 3.5y while the measure of ∠aod is y. find the measure of the non-reflex ∠dob in degrees.

In the given figure:

The reflex angle and

 [By vertical angle theorem]

From the given we can say that:

and are supplementary angles.

Supplementary angles states that the two measure are add up to 180 degree.

⇒          .....[1]

then; the reflex angle DOB is:

Substitute the given values we get;

Subtract y from both sides we get;

Divide both sides by 2.5 we get;

We have to find the non reflex

Non reflex angle DOB is;

Therefore, the non-reflex angle DOB is 108 degree.

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)