Hello, please help me answer these questions. Thanks

1. C = 360 - (77 + 123 + 86) = 74

2. x = 252

   D = 290

3. x = 20

  S = 47

  P = 131

4. 36, 72, 108, 144

Step-by-step explanation:

Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is 180°, it follows that the sum of the interior angles of a quadrilateral is 360°.

1. C = 360 - (77 + 123 + 86) = 74

2. x + 38 = 360 - (124 + 97 + 69) = 290

   x = 290 - 38 = 252

   D = 290

3. (27 + x) + (3x + 71) = 360 - (119 + 63)

   27 + x + 3x + 71 = 178

  4x = 80

  x = 20

  S = 27 + x = 27 + 20 = 47

  P = 3x + 71 = 3(20) + 71 = 131

4. Let angles be x, 2x, 3x, 4x then

   x + 2x + 3x + 4x = 360

   10x = 360

   x = 36

  then the angles are 36, 72, 108, 144

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept

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