Question

If the measure of < A is 52 °, and the measure of < B is 38 °, then < A and < B are ______.

Answer 1

Answer:
`\large\boxed{\text{B. Complementary}}`

Explanation:

Given information

`\angle A=52^\circ`

`\angle B=38^\circ`

Given answer choices

`\text{A. Congruent: means that the two angles have equal measurements}`

`\text{B. Complementary: means that the angles add up to 90}^\circ`

`\text{C. Supplementary: means that the angles add up to 180}^\circ`

`\text{D. Vertical: are formed when two lines intersect each other at a point, which }`

`\text{means the two angles are equal in measurement.}`

Eliminate choices A and D

`\text{The two angles }\angle A \text{ and }\angle B \text{ are not equal in measurement}`

`\text{Therefore, they are neither congruent nor vertical}`

Add the two angles up

`\angle A+\angle B=(52)+(38)=90^\circ`

Conclusion

`\text{As given in the answer choice, complementary angles add up to 90}^\circ`

`\text{Therefore, }\angle A \text{ and } \angle B \text{ are }\large\boxed{\text{Complementary}}`

Hope this helps!! :)

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Answer 2

The correct answer is option b. complementary.

If the measure of ∠A is 52°, and the measure of ∠B is 38°, then ∠A and ∠B are supplementary.

Supplementary angles are a pair of angles whose measures add up to 180°. In this case, the measures of ∠A and ∠B add up to 52° + 38° = 90°, which is less than 180°. Therefore, ∠A and ∠B are not supplementary.

Congruent angles have the same measure. Since the measures of ∠A and ∠B are not the same, they are not congruent.

Complementary angles are a pair of angles whose measures add up to 90°. In this case, the measures of ∠A and ∠B add up to 52° + 38° = 90°. Therefore, ∠A and ∠B are complementary.