Question

If m<3=135 find m<7 help please

Answer 1

Answer:

$\fbox{m∠7 = 135°}$

Step-by-step explanation:

Given a transversal that intersects a set of parallel lines, various angles are formed.

When given this situation in geometry, these angles have different names and statements (primarily theorems) which justify their relationship.

There are 8 primary types of possible angles of parallel lines including:

• Alternate Interior
• Alternate Exterior
• Same-Side (Consecutive) Interior
• Same-Side (Consecutive) Exterior
• Corresponding Angles
• Vertical Angles
• Supplementary Angles
• Linear Pair

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According to what is given in the problem, we know that:

m∠3 = 135°.

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To solve for m∠7, we must identify the relationship that ∠3 and ∠7 have.

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Here is the solution in proof form:

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Statement | Reason

m∠3 = 135° | Given

m∠3 ≅ m∠5 | Vertical Angles

m∠5 ≅ m∠7 | Corresponding Angles Theorem

m∠3 ≅ m∠7 | Transitive Property of Equality

m∠7 = 135° | Definition of Congruent Angles