Answer:
-9 =x
Step-by-step explanation:
We know these are similar triangles
We can use ratio's to solve
Let CS = y and XR = y+y or 2y
y x+19
------ = ------------
2y x+29
We can simplify the ratio on the left by dividing by y
1 x+19
------ = ------------
2 x+29
Using cross products
1(x+29) = 2(x+19)
Distribute
x+29 = 2x+38
Subtract x from each side
x-x+29 = 2x-x+38
29 = x+38
Subtract 38 from each side
29-38= x+38-38
-9 =x
Given:
BD is parallel to XY.
One of the angle is 85°
To find:
The value of y.
Solution:
Parallel lines BD and XY cut by a transversal line.
Angle y and 85° are alternate interior angles.
Alternate interior angle theorem:
If two parallel lines are cut by a transversal line, then the pairs of alternate interior angles are congruent.
⇒ y = 85°
The value of y is 85.
Answer:
X = 90 degrees
Step-by-step explanation:
Answer:
RQ
Step-by-step explanation:
ML:RQ = MN:RS = LN:QS (corr side, similar triangles)
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