three angles represented by 6x, 2x and 100 degrees respectively form a straight line. what is the measure of each angle?

Question

Rowe

Mathematics

16 April, 05:42

three angles represented by 6x, 2x and 100 degrees respectively form a straight line. what is the measure of each angle?

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Yaka · Answer 1

So, a straight line forms an 180 degree angle, so we can plug that into this equation of 180=6x+2x+100, which x is the variable used to find the angle measurements. If you simplify the equation, you get 180=8x+100, and then you can subtract 100 from both sides to get 80=8x. To find x, you'll divide both sides by 8 to get the equation 10=x. Now, you can plug it back into the equation to find the missing angle measurements. Since 6 times 10 is 60, that would be the missing angle for 6x, and since 2 times 10 is 20, that would be the other missing angle. To confirm this answer, you can add 60, 20, and 100 to make sure it adds up to 180 degrees.