Hello!
Question 1
The angles in a triangle add up to 180°
Subtract the known angles from 180 to get x
180 - 105 - 40 = 35
The answer is 35
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Question 2
The angles in a triangle add up to 180°
The box means that angles is 90°
Subtract the know angles from 180 to get x
180 - 65 - 90 = 25
The answer is 25
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Hope this helps!
Answer:



Step-by-step explanation:
First, let's look at the largest triangle (two smaller triangles are combined) to solve for
. Since the sum of the angles in a triangle adds up to
, we can write the equation:



Looking at the smaller triangle on the left,
(exterior angle) is the sum of the two opposite interior angles of the triangle on the left:


Since
is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:



Hope this helps :)
Answer:
Step-by-step explanation:
1) D
2) B
3) no solution
y ≤ 0.5x - 4 is area C including the red line
y ≥ 0.5x + 5 is area A including the blue line