What is the length of MN
1 answer:
Answer: D. 4
Step-by-step explanation:
In the given picture , we have given a triangle ΔMLN in which
ML= 4x and MN= x+3
∠L=∠N=50°
⇒ MN=ML [∵ Basically by Isosceles triangle property :sides opposite to equal angles of a triangle area equal.]
Subtract x from both sides , we get
Divide bothe sides by x , we get
1= x or x =1
Then, the length of MN = x+3=1+3=4 units
You might be interested in
Answer:
Look for perpendicular lines or corresponding angles or alternate interior angles.
Step-by-step explanation:
When you want to show that a quadrilateral is a parallelogram you need to show that the oposite sides are parallel. In order to show that two segments are parallel there are various theorems and definitions you can use.
1 - Remember that two lines perpendicular to the same segment are parallel.
2 - When two lines are cut by a secant and their alternate interior angles are congruent, then the resulting lines are parallel, I will attach a drawing to illustrate what I am saying.
3 - When two lines are cut by a secant and their CORRESPONDING angles are congruent, then the resulting lines are parallel, I will also attach a drawing to illustrate what I am saying.
