Shown in the standard (x,y) coordinate plane below are 2 angles. The measure of ∠𝑃𝑂𝑅 is 𝑑∘, the measure of ∠𝑃𝑂𝑄 is (11𝑑)∘, and the points R, O, and Q are collinear. What is the value of d ?

As shown in the figure below, points A, B, and D lie on a line. The measure of angle ABC (m∠ABC) is x°, and m∠CBD is (5x+4)°.

ABCD is cyclic quadrilateral Sides AB and DC, when produced, meet at E, and sides BC and AD, When produced, meet at F. If ∠BFA=60° and ∠AED=30°, then the measure of ∠ABC is:Choices:- 85° 65° 75° 90°

In a plane, the distinct lines  𝐴𝐵↔ and  𝐶𝐷↔ intersect at A, where A is between C and D. The measure of ∠𝐵𝐴𝐶 is 54∘. What is the measure of ∠𝐵𝐴𝐷 .

On a circle of radius 2, center (0, 0), find the x and y coordinates at angle 270 degrees (or 3π/2 in radian measure).Question 18Select one:a.(2, –2)b.(2, 0)c.(0, –2)d.(0, 2)e.(2, 2)

The coordinates of the point whichis equidistant from the three verti-ces of the ∆ AOB as shown in theFig. 7.1 is(A) (x, y) (B) (y, x)(C) ,2 2x y (D) ,2 2y x