Question

Help me please tha is a practice but is I pass it will make me not fail math

Answer 1

Answer:

x = 21   The angles are 85°, 58°,  69°, and 148°

Step-by-step explanation:

The sum of the interior angles of a 4 sided figure formula :

Sum of the interiors = (n - 2) 180°

Sum of the interiors = (4 - 2) 180  

Sum of the interiors = (2)180° = 360°

Now : 85° + (x + 37)° + 69° + (6x + 22)° = 360°

           213 + 7x = 360

           7x = 360 - 213

             7x = 147

              x = 21     the angles are 85°, (21 + 37)° = 58°; 69°; (6·21 +22)°= 148°

Answer 2

Answer:

The degrees inside the quadrilateral are 85, 148, 69, and 58.

Step-by-step explanation:

The interior of the quadrilateral equals 360 degrees.

All the degrees inside need to add up to 360. You need to find out what x is so you can do that.

First, add all the degrees you know, then solve for x.

85 + 69 = 154.

Now, add in the other angles.

154 + (6x + 22) + (x + 37)

Add like terms together.

154 + 22 + 37 = 213 degrees       6x + x = 7x.

7x + 213 needs to equal 360.

Subtract 213 from both sides to get 7x alone.

7x = 360 - 213

7x = 147

Now, you need to solve for x.  You do this by dividing both sides by 7.

7x/7 = 147/7

x = 21

To find the degrees of the two unknown angles, substitute 21 back in where x is.

6(21) + 22 = 126 + 22 = 148

and 21 + 37 = 58

85 + 148 + 69 + 58 = 360 degrees.