Math / Geometry

QuestionA 127°

Studdy Solution

STEP 1

1. The two intersecting lines form a pair of adjacent angles.
2. The sum of adjacent angles on a straight line is $180^\circ$ .

STEP 2

1. Identify the relationship between the given angles.
2. Use the relationship to find the measure of angle $A$ .

STEP 3

Identify that the two angles, $127^\circ$ and $A$ , are supplementary because they are adjacent angles on a straight line. This means their measures add up to $180^\circ$ .

STEP 4

Use the supplementary angle relationship to find $A$ . We have:
$127^\circ + A = 180^\circ$

STEP 5

Solve for $A$ by subtracting $127^\circ$ from both sides of the equation:
$A = 180^\circ - 127^\circ$

STEP 6

Calculate the result:
$A = 53^\circ$
The measure of angle $A$ is:
$\boxed{53^\circ}$

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QuestionA 127°

Studdy Solution

STEP 1

1. The two intersecting lines form a pair of adjacent angles.
2. The sum of adjacent angles on a straight line is $180^\circ$ .

STEP 2

1. Identify the relationship between the given angles.
2. Use the relationship to find the measure of angle $A$ .

STEP 3

Identify that the two angles, $127^\circ$ and $A$ , are supplementary because they are adjacent angles on a straight line. This means their measures add up to $180^\circ$ .

STEP 4

Use the supplementary angle relationship to find $A$ . We have:
$127^\circ + A = 180^\circ$

STEP 5

Solve for $A$ by subtracting $127^\circ$ from both sides of the equation:
$A = 180^\circ - 127^\circ$

STEP 6

Calculate the result:
$A = 53^\circ$
The measure of angle $A$ is:
$\boxed{53^\circ}$

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QuestionA 127°

Studdy Solution

STEP 1

1. The two intersecting lines form a pair of adjacent angles.2. The sum of adjacent angles on a straight line is 180∘ 180^\circ 180∘.

STEP 2

1. Identify the relationship between the given angles.2. Use the relationship to find the measure of angle A A A.

STEP 3

Identify that the two angles, 127∘ 127^\circ 127∘ and A A A, are supplementary because they are adjacent angles on a straight line. This means their measures add up to 180∘ 180^\circ 180∘.

STEP 4

Use the supplementary angle relationship to find A A A. We have:127∘+A=180∘ 127^\circ + A = 180^\circ 127∘+A=180∘

STEP 5

Solve for A A A by subtracting 127∘ 127^\circ 127∘ from both sides of the equation:A=180∘−127∘ A = 180^\circ - 127^\circ A=180∘−127∘

STEP 6

Calculate the result:A=53∘ A = 53^\circ A=53∘ The measure of angle A A A is:53∘ \boxed{53^\circ} 53∘​

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1. The two intersecting lines form a pair of adjacent angles.
2. The sum of adjacent angles on a straight line is $180^\circ$ .

1. Identify the relationship between the given angles.
2. Use the relationship to find the measure of angle $A$ .

Identify that the two angles, $127^\circ$ and $A$ , are supplementary because they are adjacent angles on a straight line. This means their measures add up to $180^\circ$ .

Use the supplementary angle relationship to find $A$ . We have:
$127^\circ + A = 180^\circ$

Solve for $A$ by subtracting $127^\circ$ from both sides of the equation:
$A = 180^\circ - 127^\circ$

Calculate the result:
$A = 53^\circ$
The measure of angle $A$ is:
$\boxed{53^\circ}$