sbartolome848
Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

If m∠4 = 35, find m∠2. Explain.
35; ∠2 and ∠4 are alternate interior angles, so m∠2 = m∠4.
145; ∠2 and ∠4 are supplementary angles, so m∠2 = 180 − m∠4.
55; ∠2 and ∠4 are complementary angles, so m∠2 = 90 − m∠4
35; ∠2 and ∠4 are corresponding angles, so m∠2 = m∠4.

Sagot :

The correct answer is option 1.

From the accompanying photo,

Right triangle CAB has three sides.

Consequently, m1 = 90°.

Similarly, mACD = 90°

∠ACD = 90° = ∠ACB + ∠BCD

= m∠3 + m∠4 = 90°

Because m4 = 35°,

m∠3 + 35° = 90°

m∠3 = 90° - 35° = 55°

In the ABC triangle,

∠ACB + ∠CBA + ∠BAC = 180° [triangle property]

∠3 + ∠2 + ∠1 = 180°

55° + ∠2 + 90° = 180°

∠2 + 145° = 180°

∠2 = 180° - 145° = 35°

Because ABCDBC is a transversal,

The lines are referred to as transversal lines when a straight line crosses two or more parallel lines. Any time this transverse line crosses a coplanar line, alternate angles—also referred to as exterior or interior alternate angles—are created.

In light of this, ∠2 = ∠4 = 35° [Alternate Interior Angles].

To learn more about Alternate Interior Angles refer the link:

https://brainly.com/question/17991546

#SPJ9

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.