You need to find the angle measurements of the triangle.
The angle supplementary to 128 measures (180 - 128 =) 52 degrees.
Using the corresponding and supplementary property because lines m and n are parallel, you know that the highest (in location) angle of the triangle measure 90 degrees.
A triangle's total angle measurements add up to 180 degrees. Subtract the other two known angles from 180. 180 - 52 - 90 = 38. The third (right side) angle of the triangle measures 38 degrees.
Now, using the supplementary angle theorem, you can find angle a, which is supplementary to the third angle on the triangle. 180 - 38 = 142.
Angle a measures 142 degrees.
Mx” is the slop of this equation
Answer:
15
Step-by-step explanation:
12-9=3 so the pattern might be +3 so 12+3=15
69.6 is the answer to ur question
Answer:
<u>Secant</u>: a straight line that intersects a circle at two points.
<u>Intersecting Secants Theorem</u>
If two secant segments are drawn to the circle from one exterior point, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.
From inspection of the given diagram:
- M = Exterior point
- MK = secant segment and ML is its external part
- MS = secant segment and MN is its external part
Therefore:
⇒ ML · MK = MN · MS
Given:
- MK = (x + 15) + 6 = x + 21
- ML = 6
- MS = 7 + 11 = 18
- MN = 7
Substituting the given values into the formula and solving for x:
⇒ ML · MK = MN · MS
⇒ 6(x + 21) = 7 · 18
⇒ 6x + 126 = 126
⇒ 6x = 0
⇒ x = 0
Substituting the found value of x into the expression for KL:
⇒ KL = x + 15
⇒ KL = 0 + 15
⇒ KL = 15
