Answer:
A. 158 degrees
B. 46 degrees
C. 110 degrees
D. 46 degrees
Step-by-step explanation:
in a quadrilateral, the interior angles will always add up to be 360. so, take the values, add them together, and set it equal to 360.
[tex]x + 4x - 26 + x + 2x + 18 = 360[/tex]. then combine like terms (x with x and the other numbers)
8x -8 = 360
then add 8 to both sides 8x = 368
then divide both sides by 8 x=46. now that you have found x, you can find the angles measures.
A: angle a is 4x-26, so place in x, and you get: 4(46)-26, which is 158, so a is 158 degrees.
B: b is just the value of x, so b is 46 degrees
C: c is 2x + 18, so fill in x. 2(46) + 18, which is 110, so angle C is 110 degrees.
D: d is just the value of x, so d is 46 degrees.
finally, check to make sure you are correct by adding up all the values you got. 158 + 46 + 110 + 46, which = 360, so you are correct and we have the angle measures. hope this helped!.
