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Two angles are supplementary. The measure of the larger angle is twice the measure of the smaller angle .Find the measure of the angles.

a. Define variables for the measures of the angles.

b. Write an equation for the measures of the angles.

c. Write an equation describing the relation of the measure of the larger angle to the measure of the smaller angle.

d. solve the system formed by the two equations.

e. What are the measures of the angles

S. O. S​

Sagot :

Answer:

a. Define variables for the measures of the angles

Larger angle = x

Smaller angle = y

b. Write an equation for the measures of the angles.

Since the two angles are supplementary, the sum of the two angles is 180.

x + y = 180

c. Write an equation describing the relation of the measure of the larger angle to the measure of the smaller angle.

x = 2y

d. solve the system formed by the two equations.

x + y = 180

x = 2y

2y + y = 180

3y = 180

y = 60

x = 2y

x = 2(60) = 120

e. What are the measures of the angles

x(larger angle) = 120, y(smaller angle) = 60

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