Answer:
11°
Step-by-step explanation:
Kindly find the diagram attached.
From the diagram we are given two interior angles ∠NLM and ∠LMN and exterior angle ∠MNO.
You must understand that sum of interior angles is equal to the exterior angles.
∠NLM+ ∠LMN = ∠MNO
Given parameters
∠NLM = x-4
∠LMN = x+9
∠MNO = 4x-17
Substitute the given parameters into the equation above;
x-4+x+9 = 4x-17
2x+5 = 4x-17
2x-4x=-17-5
-2x = -22
x = -22/-2
x = 11°
Hence the value of x is 11°
Answer:
Step-by-step explanation:
The missing diagram is shown in the attachment.
We need to Examine Carmen’s rail plans to identify the measure of ∠1.
Recall that corresponding angles are equal.
From Carmen’s rail plans, the measure of corresponds to 155 degrees because the streets represented by lines V and W are parallel and t is a transversal.
Therefore
Answer:
Internal angle =
Number of sides = 18
Step-by-step explanation:
Given that:
We have a regular polygon with number of sides unknown.
Measure of an exterior angle of the polygon =
To find:
Measure of an interior angle and the number of sides of the polygon?
Solution:
Let us have a look at the relation of sum of external angles.
Sum of one internal angle and its corresponding external angle =
Internal angle + external angle =
Internal angle = -
=
Sum of all the external of a regular polygon =
All the external angles will be equal because it is a regular polygon.
Let the number of sides =
Therefore,
Therefore, the answers are:
Internal angle =
Number of sides = 18