Answer:
m < FGN = 88°
Step-by-step explanation:
The exterior angle theorem states that the measure of each <em>exterior</em> angle of a triangle is equal to the <u>sum</u> of the <em>opposite</em> and non-adjacent interior angles (also known as <u>remote interior angles</u>).
Given the exterior angle, m <FGN = (7x + 18)°, and the two remote interior angles, m < E = 38° and m < F = (6x - 10)°:
The following equality statement can be established according to the exterior angle theorem:
m < E + m < F = m <FGN
38 + 6x - 10 = 7x + 18
Combine like terms:
28 + 6x = 7x + 18
Subtract 6x from both sides:
28 + 6x - 6x = 7x - 6x + 18
28 = x + 18
Subtract 18 from both sides:
28 - 18 = x + 18 - 18
10 = x
Next, substitute the value of x = 10 into the equality statement to determine whether it is the correct value of x, and to find the measures of < FGE and < F.
m < E + m < F = m <FGN
38° + (6x - 10)° = (7x + 18)°
38 + 6(10) - 10 = 7(10) + 18
38 + 60 - 10 = 70 + 18
88 = 88 (True statement).
Therefore, m < FGN = 88°
Answer:
one 4 Two yes And 4
Step-by-step explanation:
Answer:
A = 240 units²
Step-by-step explanation:
the area (A) of a regular polygon is
A = 
pa ( p is the perimeter and a the apothem )
here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then
A = × 48 × 10 = 24 × 10 = 240 units²
Step-by-step explanation:
subtract-13 from -13 get zero
then, subtract 13 from 77 =64
then do divide 15 from 15
then divide 15 from 64 = 4.26 repeat
