Bowers Bowen
08/31/2023 · Senior High School
10 points Suppose \( \angle A \) and \( \angle B \) are complementary. Which of the following is correct? None of these \( m \angle A+m \angle B=90 \) If these If \( m \angle A=72^{\circ} \), then \( m \angle B=37^{\circ} \), then \( m \angle B \neq 75^{\circ} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To determine which statement is correct regarding complementary angles, we need to recall the definition of complementary angles: two angles are complementary if the sum of their measures is \(90^\circ\).
1. **None of these**: This option is not valid unless all other options are incorrect.
2. **\( m \angle A + m \angle B = 90 \)**: This statement is correct because it directly reflects the definition of complementary angles.
3. **If \( m \angle A = 72^\circ \), then \( m \angle B = 37^\circ \)**: This statement is incorrect. If \( m \angle A = 72^\circ \), then \( m \angle B \) should be \( 90^\circ - 72^\circ = 18^\circ\), not \(37^\circ\).
4. **Then \( m \angle B \neq 75^\circ \)**: This statement is true because if \( m \angle A = 72^\circ \), then \( m \angle B \) cannot be \(75^\circ\) as it would not satisfy the complementary condition.
Given these evaluations, the correct answer is:
**\( m \angle A + m \angle B = 90 \)**.
Quick Answer
\( m \angle A + m \angle B = 90 \)
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit