Supplementary angles are angles whose son is 180. To supplementary angles are such that one angle is 4° less than three times the other. Find the measures of the angles

Question

asked Dec 19, 2021 136k views

1 Answer

Thinkhy · Answer 1 · 2021-12-23T04:57:58+0000

Answer:

The measures of angle are 46 degrees and 134 degrees.

Explanation:

We are given the following in the question:

Let the measure of one the of the supplementary angles be x degrees.

Measure of other angle =

$(3x-4)\text{ degrees}$

Since, the two angles are supplementary, their sum is 180 degrees.

Thus, we can write and solve the equation:

$x + (3x-4) = 180\\4x = 184\\x = 46\\(3x-4) = 134$

Thus, the measures of angle are 46 degrees and 134 degrees.