Answer:

Step-by-step explanation:
The angle 42x+1 is the inscribed angle of Arc WX. This means Arc WX is twice of 42x+1.

We can add up that and the other arcs to 360.





Plug in 2 for WX.

Hello,
if tan x=√3/3 then x=30°+k*180° k: integer
Problem 1
The two angles 6x and 30 are vertical angles, so they are congruent or the same in measure.
6x = 30
x = 30/6
x = 5 is the answer
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Problem 2
The two angles form a straight angle which is 180 degrees. We consider them a linear pair (since they are adjacent and supplementary).
So,
5x+(3x+12) = 180
8x+12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21 is the answer
Answer:
X = 30°, y = 15° and z = 150°.
Reason: Look below.
Step-by-step explanation:
Hey there!
When we look into the figure, we find that;
For x:
x+ 2x + 90° = 180° {Being linear pair}
or, 3x = 180°-90°
or, 3x = 90°
or, x= 90°/3
<u>Therefore, X = 30°.</u>
For y :
2y = x = 30° {Alternate angles are equal}
or, 2y = 30°
y = 30°/2
<u>Therefore, y = </u><u>1</u><u>5</u><u>°</u>
For z:
2y + z = 180° { Being linear pair}
or, 30°+z = 180°
or, z = 180°-30°
or, z = 150°
<u>Therefore, z = 150°.</u>
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Could you send a clear image from frobt view