QuestionFind the supplementary angle if one angle is $(17x+5)$ degrees. Their sum is $180^{\circ}$ .

Studdy Solution

STEP 1

Assumptions1. The given angle is $(17x+5)$ degrees. Supplementary angles are two angles whose sum is $180^{\circ}$

STEP 2

We know that the sum of supplementary angles is $180^{\circ}$ . So, we can set up the equation $(17x+5) + Supplementary\, angle =180^{\circ}$

STEP 3

We can rearrange the equation to find the measure of the supplementary angle.
$Supplementary\, angle =180^{\circ} - (17x+5)$

STEP 4

Now, distribute the negative sign to both terms inside the parentheses.
$Supplementary\, angle =180^{\circ} -17x -$

STEP 5

Combine like terms.
$Supplementary\, angle =175^{\circ} -17x$ So, the measure of the supplementary angle is $(175 -17x)$ degrees.

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QuestionFind the supplementary angle if one angle is $(17x+5)$ degrees. Their sum is $180^{\circ}$ .

Studdy Solution

STEP 1

Assumptions1. The given angle is $(17x+5)$ degrees. Supplementary angles are two angles whose sum is $180^{\circ}$

STEP 2

We know that the sum of supplementary angles is $180^{\circ}$ . So, we can set up the equation $(17x+5) + Supplementary\, angle =180^{\circ}$

STEP 3

We can rearrange the equation to find the measure of the supplementary angle.
$Supplementary\, angle =180^{\circ} - (17x+5)$

STEP 4

Now, distribute the negative sign to both terms inside the parentheses.
$Supplementary\, angle =180^{\circ} -17x -$

STEP 5

Combine like terms.
$Supplementary\, angle =175^{\circ} -17x$ So, the measure of the supplementary angle is $(175 -17x)$ degrees.

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QuestionFind the supplementary angle if one angle is (17x+5)(17x+5)(17x+5) degrees. Their sum is 180∘180^{\circ}180∘.

Studdy Solution

STEP 1

Assumptions1. The given angle is (17x+5)(17x+5)(17x+5) degrees. Supplementary angles are two angles whose sum is 180∘180^{\circ}180∘

STEP 2

We know that the sum of supplementary angles is 180∘180^{\circ}180∘. So, we can set up the equation(17x+5)+Supplementary angle=180∘(17x+5) + Supplementary\, angle =180^{\circ}(17x+5)+Supplementaryangle=180∘

STEP 3

We can rearrange the equation to find the measure of the supplementary angle.Supplementary angle=180∘−(17x+5)Supplementary\, angle =180^{\circ} - (17x+5)Supplementaryangle=180∘−(17x+5)

STEP 4

Now, distribute the negative sign to both terms inside the parentheses.Supplementary angle=180∘−17x−Supplementary\, angle =180^{\circ} -17x -Supplementaryangle=180∘−17x−

STEP 5

Combine like terms.Supplementary angle=175∘−17xSupplementary\, angle =175^{\circ} -17xSupplementaryangle=175∘−17xSo, the measure of the supplementary angle is (175−17x)(175 -17x)(175−17x) degrees.

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QuestionFind the supplementary angle if one angle is $(17x+5)$ degrees. Their sum is $180^{\circ}$ .

Assumptions1. The given angle is $(17x+5)$ degrees. Supplementary angles are two angles whose sum is $180^{\circ}$

We know that the sum of supplementary angles is $180^{\circ}$ . So, we can set up the equation $(17x+5) + Supplementary\, angle =180^{\circ}$

We can rearrange the equation to find the measure of the supplementary angle.
$Supplementary\, angle =180^{\circ} - (17x+5)$

Now, distribute the negative sign to both terms inside the parentheses.
$Supplementary\, angle =180^{\circ} -17x -$

Combine like terms.
$Supplementary\, angle =175^{\circ} -17x$ So, the measure of the supplementary angle is $(175 -17x)$ degrees.