math

Given: <2 = <4, m<2 = 110
Proof: m<3 = 70

<2 = <4, m<2 = 110 Given
m<2 = m<4 Definition of congruent angles
m<4 = 110 b._______
<3 and <4 are a linear pair Definition of a linear pair(shown in diagram)
<3 and <4 are supplementary Linear Pair postulate
m<3 + m<4 = 180 c.________
m<3 = 70 d._______

I know the answers are a. Transitive
b. Definition of supplementary angles
c. Subtraction property of equality

but why? explain please!!

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asked by hotdognibba70

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