Answer:
EF = 18 in. & m∠F = 134 °
Step-by-step explanation:
Hi there,
In order to find the length of side EF, you should realize that this is an <u>isosceles triangle</u>. We know that two sides and two angles of this type of triangle are equal to each other. We also know that the lengths of the sides opposite of the congruent angles are equal to each other. Thus, we proved that length of side EF is equal to the length of side FG.
Therefore, EF is 18 inches because FG is 18 inches.
In order to find m∠F, you need to know that the sum of the angles in a triangle add up to 180°. You add all of the known angle values and subtract it by 180°.
m∠E + m∠G + m∠F = 180°
23° + 23° + m∠F = 180°
46° + m∠F = 180°
m∠F = 134°
Hope this explanation helps you understand this problem. Cheers.
Answer:
Q1. Regular (A)
Q2. 105° (C)
Q3. x=45°
Step-by-step explanation:
Q1. A regular polygon is a polygon with all sides and angles equal.
Q2. The sum of the measure of exterior angles of a polygon is always 360°. Therefore, 360°-255°=105°
Q3. 148°+112°+(2x+10)°+(2x)°+90°= Sum of angles in a pentagon.
<u><em>Note</em></u>: The square at the fifth angle shows that its a right angle which is 90°. Also all the angles are equal to the sum of angles in a pentagon 'cause the polygon has 5 sides ( a pentagon).
Sum of interior angles of a polygon is: (n-2)180°. Where "n" is the number of sides of the polygon.
Therefore the sum of interior angles is (5-2)180°=540°
solving the equation you have;
360°+4x=540°
4x=540°-360°
4x=180°
x=180°/4
x=45°
therefore x=45°
Answer:
14 cm
Step-by-step explanation:
The applicable formula is ...
s = rθ
s = (7 cm)(2) = 14 cm
In order to form a triangle, the third side must be at least greater than the difference of the other two sides
4 - 3 = 1 So the third side must be greater than 1 foot and the third side must be less than the sum of the other two sides
4 + 3 = 7 So, the third side must be less than 7
1 < third side < 7
Answer:
Step-by-step explanation:
To find the angles of any shape with all sides equal in length, we use the formula:
, where n is the number of sides
For a pentagon, we get the equation:
Thus the measure of each in a pentagon if the lengths of all five sides are equal is 108 degrees.
Hope that helps!
