The larger of two supplementary angles is 6 less then 5 times the smaller. what is the measure of angles

The measure of the supplementary angles are 31° and 149°.

Step-by-step explanation:

Supplementary angles are angles that add up to a total of 180°.  Since there are two angles, one of which is 6 less than 5 times the small angle, we can set up an expression using these terms:  5 times = 5x; 6 less than =  - 6, so the larger angle is:  5x - 6, where x is the measure of the smaller angle.  The measure of both angles will add up to 180°, so:

(5x - 6) + x = 180

Combine like terms:  6x  - 6 = 180

Inverse operations: 6x = 186,  or x = 31

31° is the measure of the smaller angle, so (5)(31) - 6 = 149° is the measure of the larger angle.

Check:  31 + 149 = 180

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation:

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