isabelbean200649
Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

A right angle intersects a line at point M.

A right angle intersects a vertical line at point M and forms 3 angles. From top to bottom going clockwise, the angles are 1, 90 degrees, 2.
Which statement is true about angles 1 and 2?

They are congruent.
They are right angles.
They are complementary.
They are supplementary.

Sagot :

Answer:

I've attached an image showing the intersection and the angle.

Answer:

C: They are complementary

Step-by-step explanation:

We can see from the image that angle 1, angle 2 and 90° are on a straight line. We know that sum of angles on a straight line is 180°. Thus;

∠1 + ∠2 + 90° = 180°

Rearranging, we have;

∠1 + ∠2 = 180° - 90°

Thus;

∠1 + ∠2 = 90°

Now, from angle proofs in trigonometry, it states that If the non-common sides of two adjacent angles add up to 90°, then it means that the angles are complementary.

In our problem here, sum of ∠1 and ∠2 equals 90°. Also, they are the non-common sides of 2 adjacent angles. Thus, we can say that they are complementary.

Step-by-step explanation:

Answer: C. They are complementary.

Step-by-step explanation:

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.