A and a' are vertical angles, therefore a' = a
We know: The sum of the measures of triangle is always 180°.
Therefore: a' + b + d = 180° → d = 180° - a - b.
d and c are adjacent angles, therefore d + c = 180°
substitute
180° - a - b+ c = 180° |-180°
-a - b + c = 0 |+a |+b
c = a + b
Answer:
x = 18
Step-by-step explanation:
When two parallel lines are intersected by a transversal, then same-side exterior angles are supplementary, meaning their angle measures add up 180 degrees. Applying this knowledge here, one can state that;
( 6x - 3 ) + 75 = 180
Simplify,
6x - 3 + 75 = 180
6x + 72 = 180
Inverse operations,
6x + 72 = 180
-72 -72
6x = 108
/6 /6
x = 18
Step-by-step explanation:
Given point (4 , -8) , slope (m) = 2
Now
the equation of line is
y - y1 = m ( x - x1)
y +8 = 2 ( x -4)
y + 8 = 2x - 8
2x - 8 - 8 -y = 0
2x - y - 16 = 0
which is the required equation