First you need to find the sum of all the interior angles using the formula (n-2)*180, where n is the number of sides.
There are 6 sides to this figure so the interior angles need to equal (6-2)*180 = 4*180 = 720.
Now add all the given angles together: 2x + 3x + 3x + 3x +3x +2x = 16x
Now we know 16X = 720
Find X by dividing both sides by 16:
X = 720 / 16
X = 45
Now we know X, so to find E, replace X with 45 and multiply by 3:
3X = 3(45) = 135.
E = 135. The answer is D.
Answer:
<u>13</u>
<em>Explanation:</em>
11×2-9=13
Since he spent half of his allowance on the movies and he had 11 left, you would multiply 11 x 2. Next, subtract 9 because that is not part of his allowance. You will end out with <u>13.</u>
Answer:
m∠CGF=25°
Step-by-step explanation:
we know that
In a circle, a radius that bisects a chord is perpendicular to the chord
so
CS is perpendicular to AC
The triangle GFC is a right triangle
Remember that the sum of the measures of the interior angles in a triangle must be equal to 180 degrees
m∠CGF+m∠GFC+m∠GCF=180°
we have
m∠GFC=90°
m∠GCF=65°
substitute
m∠CGF+90°+65°=180°
m∠CGF+155°=180°
m∠CGF=180°-155°
m∠CGF=25°
the answer is D because it is the only answer that was clearly defined in the question.
Hope this helps! if it didn't, let me know in the comments! have a great day!