Before we begin, let's identify what kind of angles these are and are they related in any way?
These angles are both acute and they are both corresponding angles.
Corresponding angles are equal to each other, and we can use this fact to our advantage.
Since they are equal to each other, we can set the equations of 1 and 2 equal to each other. Like so,
1 = 2
83 - 2x = 92 - 3x
Now, we can solve for X by isolating it on one side.
83 - 2x = 92 - 3x
Add 3x to each side: (This basically moves the X on the right side to the left.)
83 - 2x + 3x = 92 - 3x + 3x
83 + x = 92
Subtract 83 on each side to isolate the X.
83 + x - 83 = 92 - 83
x = 92 - 83
x = 9
Therefore, X equals 9. To check our work, we can substitute X for 9.
83 - 2(9) = 92 - 3(9)
83 - 18 = 92 - 27
65 = 65 -
TRUE
So to conclude, Angle 1 is 65 degrees, Angle 2 is 65 degrees, and X equals 9.
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Step-by-step explanation:
m<5=180-m<4 (linear pair)
m<5=180-125 = 55°
m<5=m<1 ( alternate angle)
therefore, m<1 = 55°.
hope this helps you.
Answer:
Step-by-step explanation:
WY is the diameter.
WX and XY sum to 180° as half the circle.
<u>Central angle is equal to intercepted arc:</u>
- mXY = m∠XVY = 87°
- mWX = 180° - mXY = 180° - 87° = 93°
Correct choice is C
Answer:
1.8
Step-by-step explanation:
- hope this helps!!
