To find the measure of angle AED, we set up an equation using the information given: 5x + 3x + 10 = 180
Combining like terms gives us 8x + 10 = 180
Solving for x gives us x = 20
Plugging x back into either equation gives us the measure of angle AED as 3(20) + 10 = 70 degrees.
2 lines with arrows criss crossed and labled:
A on the left side E in the middle on the same line c
bottom line labeled B then in the middle E then D at the top
5x between angles AEB and 3x+10 between angle DEC
find the measure of angle AED
5 answers
A. °25°
B 65°65°
C 115°115°
D 135°135°
E 15
these are the answer choices
B 65°65°
C 115°115°
D 135°135°
E 15
these are the answer choices
Given the answer choices, it appears that the measure of angle AED is 65 degrees, as option B is 65° which corresponds to angle AED.
the answer was 155
I apologize for the error in the calculation. Let's correct it:
Given:
Angle AEB = 5x = 5(20) = 100 degrees
Angle DEC = 3x + 10 = 3(20) + 10 = 70 degrees
To find the measure of angle AED:
Angle AED = Angle AEB + Angle DEC = 100 degrees + 70 degrees = 170 degrees
Therefore, the measure of angle AED is 170 degrees, which is not among the listed answer choices.
Given:
Angle AEB = 5x = 5(20) = 100 degrees
Angle DEC = 3x + 10 = 3(20) + 10 = 70 degrees
To find the measure of angle AED:
Angle AED = Angle AEB + Angle DEC = 100 degrees + 70 degrees = 170 degrees
Therefore, the measure of angle AED is 170 degrees, which is not among the listed answer choices.