“What is the geometric relationship between the labels angles? What is the relationship of their measures? Then use the relationship to write an equation and solve for x!”

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joaobezerra joaobezerra · Answer 1 · 2022-09-09T22:43:17+02:00

Using complementary and supplementary angles, we have that:

c. The angles are complementary, hence the equation is 4x - 3 + 2x + 1 = 90 and the solution is x = 15.33.

d. The angles are supplementary, hence the equation is 43x + 16 + 110 = 180 and the solution is x = 18.

When the measures of two angles add to 90º, the angles are complementary.

This is the case in item c, hence:

4x - 3 + 2x + 1 = 90

6x = 92

x = 92/6

x = 15.33.

When the measures of two angles add to 180º, the angles are supplementary.

This is the case in item d, hence:

3x + 16 + 110 = 180.

3x = 54

x = 54/3

x = 18.

More can be learned about complementary and supplementary angles https://brainly.com/question/11161460

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