Algebra word problem?

anonymous

Two angles are supplementary if their sum is 180 degrees. The larger angle measures more than ten times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.

iggy-rocko

x + larger angle = 180

Since the problem says "more than," you use an inequality.

larger angle > 10x

There is no exact solution.

If you meant the larger angle's measure equals ten times the smaller angle's measure, then

x + 10x = 180

11x = 180

x = 16 4/11

larger angle = 10(16 4/11) = 160 40/11 = 163 7/11

quentin-price_60ac770fae191

A+B=180--EQ(1)

A=10B

SUB IN EQ 1

10B+B=180

11B=180

B=180/11=16.36 DEG

A=180-B=180-16.36=163.64

A=163.64DEG