2. Refer to the figure below. The interior angles formed by the sides of a quadrilateral
have measures that sum to 360°, what is the value of x?_

Your value of x will be 28°

Step-by-step explanation:

First, we'll need to find the length of the two obtuse angles. To do this, you add them together. 124 + 124 = 248°.

Since we know that the entire interior measure of the figure is 360°, you have to subtract 248 from 360 to find out the measure of the two unknown angles together.

The sum of the two unknown angles is 112°.

Now, you have to divide 112 by 4, since both of the angles multiply x by two.

112 divided by 4 is equal to 28.

This means the value of x is equal to 28°

I'll check this just to be sure. First I'll start with the top two angles:

2 x 28 = 56

56 + 56 = 112

Then I'll add it to the bottom two angles:

248 + 112 = 360°

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841