Answer:
<u>1st pic:</u>
x = 49
top angle = 45
bottom angle = 108
far right angle = 27 degrees
<u>2nd pic:</u>
angle 1 = 88 degrees
angle 2 = 57 degrees
angle 3 = 35 degrees
angle 4 = 145 degrees
Step-by-step explanation:
<u>1st pic:</u>
you can find the far right angle by taking 153 and subtracting it from 180:
⇒ 180 - 153 = 27 degrees
you can find x by the following equation ⇒ x - 4 + 2x + 10 + 27 = 180
combine like terms ⇒ 3x + 33 = 180
subtract 33 from each side ⇒ 3x + 33 - 33 = 180 - 33 ⇒ 3x = 147
divide 3 on each side: ⇒ 
x = 49
to find the top and bottom angles, substitute 49 for x:
top angle : x - 4
49 - 4 = 45 degrees
bottom angle: 2x + 10
2 x 49 + 10 = 108 degrees
<u>2nd pic:</u>
angle 1:
⇒ 180 - 92 = 88 degrees
angle 2:
⇒ 180 - 123 = 57 degrees
angle 3:
⇒ 180 - (88 + 57) = 35 degrees
angle 4:
⇒ 180 - 35 = 145 dgerees
Answer:
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Answer:
Substitute the coordinate of point into line equation, we have:
2 x (-4) - 6 = -14
=> The point lies on the line
Hope this helps!
:)
The most precise and correct statement about perpendicular lines from among those that are given is; A: AB is perpendicular to CD if the two line intersect such that ∠AOD is a right angle triangle.
<h3>How to Interpret Perpendicular Lines?</h3>
In geometry, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).
Now, from the given image, we are told that lines AB and CD Intersect at point O. Looking at the options;
A) This option is true because if the intersect at right angles, then according to the definition above, they are perpendicular.
B) This option is incorrect because if they never meet, then they can never intersect.
C) This option is incorrect because the equality has to be at 90 degrees.
Read more about Perpendicular Lines at; brainly.com/question/1202004
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