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# Find measure of angles word problem

Solve this word problem to find the measure of angles. In this example you'll split up a pie (don't forget to share!). Created by Sal Khan.

## Want to join the conversation?

• It seems like an equally valid answer would be that you cut yourself a 20 degree slice, and cut your brother a 10 degree slice. Where did the idea come from that these 3 slices would consume the entire remains of the pie?
• In fact, you're right. For it to be an exam question, it must be clearer.
• Couldn't you just do 180-30=150, then divide 150 by 3 which equals 50, and then multiply 50 times 2 to get 100? Wouldn't that be a lot simpler?
• yes but this strategy would only be valid with this specified problem
• I don't get any of this -_-
• Unfortunately, that is why we are here. to learn things like (9-4x) -2 (4y+8) +83y= -18x (14-13) -9x
• I feel like bad for the mom in this situation. She gets such a tiny amount. couldn't you just split it into 3 equal slices? Your slice isn't even a slice, it's like 2 slices. lol
• Two angles are supplementary. The measure of the larger angle is
10 degrees more than the product of 4 and the measure of the smaller angle.
What is the measure of the larger angle in degrees?
• Let's call larger angle "x" and the smaller angle "y".
We can use the given information to create a system of equations:
x + y = 180 (this is because they are supplementary)
x = 4y + 10 (The measure of the larger angle is 10 degrees more than the product of 4 and the measure of the smaller angle.)
Solving this system:
4y + y + 10 = 180
5y + 10 = 180
5y = 170
y = 34˚
x + 34 = 180
x = 146˚
• Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the​ angle's supplement.
The measure of the angle is nineteen times greater than its supplement.
what is the measure of the supplement?
can someone help me with this.
• can you help me with angle addition postulate
• The angle addition postulate states two angles that share a ray add up to make up a larger angle. This is useful to know because if you know two of the angles, you can figure out the third.

Example:
<ABC + <ABD= <CBD

<ABC=42
<CBD=87

87-42=45
You subtract 42 from 87 because you are removing one angle from the larger angle to find the other smaller angle.

I hope this helped!
• Why do you need that much pie?!?!?!?!?!?!
• Is that question necessary
(1 vote)
• ok....this is a 4 min 33 sec video. when i found it out in less than a minut. half pie = 180 deg. mum slice so remaining 150. it will be 3x because little bro slice = x your slice equal to double so 2x. then x=150/3. x= 50. little bro slice = x so 50 ,yours 2x so 50*2 = 100. done