Because LP and NP are the same measure, that means that MP is a bisector. It bisects side LN and it also bisects angle LMN. Where MP meets LN creates right angles. What we have then thus far is that angle LMP is congruent to angle NMP and that angle LPM is congruent to angle NPM and of course MP is congruent to itself by the reflexive property. Therefore, triangle LPM is congruent to triangle NMP and side LM is congruent to side NM by CPCTC. Side LM measures 11.
M∠A = 42° [isosceles triangle]
m∠B = 180 - 42 - 42 = 96° [in a triangle, the three interior angles always add to 180°]
m∠C = 180 - 96 - (x+12)
m∠C = 84 - x - 12
m∠C = 72 - x2x+9 + 3x-1 + 72-x = 180
4x + 80 = 180
4x = 180 - 80
4x = 100
x = 100/4
x = 25m∠C = 72 - x = 72 - 25 =
47°
<span>I hope this helped</span>
The numbers are "x" and "y";
Therefore, we can suggest this system of equations:
x+y=24 ⇒x=24-y
x/y=5
solve this problem by substitution method.
(24-y)/y=5
24-y=5y
-y-5y=-24
-6y=-24
y=-24/-6=4
x=24-y
x=24-4
x=20
Answer: the numer are: 20 and 4
The Angles BAF and CEF are equal to one another, because they form pair of Alternate Interior Angles ~
So, the Correct choice is ~
- Yes, They are Alternate interior Angles