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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

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