sbartolome848
Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A 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

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.