To put words into equations:
x+y+z =50
x=4y
4y=5z -> z= 4/5 y
Which means
4y+y+ 4/5 y= 50
29/5 y =50
29y=250
Y=29/250
The sum of all the interior angles in a hexagon is 720°, so if you add up all the angles and then take them away from 720, you'll get your answer:
152 + 85 = 237
237 + 85 = 322
322 + 125 = 447
447 + 135 = 582
So 720 - 582 = 138°, which is your answer. I hope this helps!
Answer:
No
Step-by-step explanation:
In both exterior and interior angles on the same side of the transversal, one of the angles will be acute and the other one will be obtuse making them different. Therefore, there is no relationship between them.
Answer:
see explanation
Step-by-step explanation:
In a rectangle
• All angles are right angles
• the diagonals are congruent
In Δ WXV the sum of the 3 angles = 180°
∠ WXZ = ∠ XWY =
=
= 58°
∠ YXZ = 90° - 58° = 32°
∠ WVZ = 180° - 64° = 116° ( adjacent angles are supplementary )
∠ XWZ = 90° ( by definition of rectangle )
∠ XZY = ∠ WXZ = 58° ( corresponding angles )