Does anybody know the answer?

y=140°

Step-by-step explanation:

Method 1.

The exterior angle theorem tells us that y=20+120=140

Method 2.

Solve for x first., then use that to solve for y.

The sum of the interior angles of a triangle is 180, so we can get x by doing 180-20-120=40.

y and x make a straight angle which is 180°, so we can get y by doing 180-40=140

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.